Finding the Third Proportional to 29,627 and 69,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,627 : 69,935.50 = 69,935.50 : x
2. Step 2: Convert to fraction form
   29,627/69,935.50 = 69,935.50/x
3. Step 3: Cross multiply
   29,627x = 69,935.50 × 69,935.50
4. Step 4: Simplify right side
   29,627x = 4,890,974,160.25
5. Step 5: Solve for x
   x = 4,890,974,160.25/29,627
6. Step 6: Final answer
   x = 165,085.03