Finding the Third Proportional to 29,616 and 69,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,616 : 69,913.50 = 69,913.50 : x
2. Step 2: Convert to fraction form
   29,616/69,913.50 = 69,913.50/x
3. Step 3: Cross multiply
   29,616x = 69,913.50 × 69,913.50
4. Step 4: Simplify right side
   29,616x = 4,887,897,482.25
5. Step 5: Solve for x
   x = 4,887,897,482.25/29,616
6. Step 6: Final answer
   x = 165,042.46