Finding the Third Proportional to 10,748,739,836,124 and 23,688,415,178,991

Step by Step Solution

1. Step 1: Write the proportion equation
   10,748,739,836,124 : 23,688,415,178,991 = 23,688,415,178,991 : x
2. Step 2: Convert to fraction form
   10,748,739,836,124/23,688,415,178,991 = 23,688,415,178,991/x
3. Step 3: Cross multiply
   10,748,739,836,124x = 23,688,415,178,991 × 23,688,415,178,991
4. Step 4: Simplify right side
   10,748,739,836,124x = 561,141,013,692,251,176,804,810,752
5. Step 5: Solve for x
   x = 561,141,013,692,251,176,804,810,752/10,748,739,836,124
6. Step 6: Final answer
   x = 52,205,283,805,119.88