Finding the Third Proportional to 6,747,703,606,077 and 10,279,429,256,196

Step by Step Solution

1. Step 1: Write the proportion equation
   6,747,703,606,077 : 10,279,429,256,196 = 10,279,429,256,196 : x
2. Step 2: Convert to fraction form
   6,747,703,606,077/10,279,429,256,196 = 10,279,429,256,196/x
3. Step 3: Cross multiply
   6,747,703,606,077x = 10,279,429,256,196 × 10,279,429,256,196
4. Step 4: Simplify right side
   6,747,703,606,077x = 105,666,665,833,138,245,569,871,872
5. Step 5: Solve for x
   x = 105,666,665,833,138,245,569,871,872/6,747,703,606,077
6. Step 6: Final answer
   x = 15,659,648,378,446.05