Finding the Third Proportional to 8,538,423,103,086 and 13,007,696,980,896

Step by Step Solution

1. Step 1: Write the proportion equation
   8,538,423,103,086 : 13,007,696,980,896 = 13,007,696,980,896 : x
2. Step 2: Convert to fraction form
   8,538,423,103,086/13,007,696,980,896 = 13,007,696,980,896/x
3. Step 3: Cross multiply
   8,538,423,103,086x = 13,007,696,980,896 × 13,007,696,980,896
4. Step 4: Simplify right side
   8,538,423,103,086x = 169,200,180,746,810,910,985,682,944
5. Step 5: Solve for x
   x = 169,200,180,746,810,910,985,682,944/8,538,423,103,086
6. Step 6: Final answer
   x = 19,816,326,586,774.29