Finding the Third Proportional to 10,748,739,835,857 and 23,688,415,178,412

Step by Step Solution

1. Step 1: Write the proportion equation
   10,748,739,835,857 : 23,688,415,178,412 = 23,688,415,178,412 : x
2. Step 2: Convert to fraction form
   10,748,739,835,857/23,688,415,178,412 = 23,688,415,178,412/x
3. Step 3: Cross multiply
   10,748,739,835,857x = 23,688,415,178,412 × 23,688,415,178,412
4. Step 4: Simplify right side
   10,748,739,835,857x = 561,141,013,664,820,010,959,241,216
5. Step 5: Solve for x
   x = 561,141,013,664,820,010,959,241,216/10,748,739,835,857
6. Step 6: Final answer
   x = 52,205,283,803,864.63