Finding the Third Proportional to 47,629.50 and 71,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,629.50 : 71,209.50 = 71,209.50 : x
2. Step 2: Convert to fraction form
   47,629.50/71,209.50 = 71,209.50/x
3. Step 3: Cross multiply
   47,629.50x = 71,209.50 × 71,209.50
4. Step 4: Simplify right side
   47,629.50x = 5,070,792,890.25
5. Step 5: Solve for x
   x = 5,070,792,890.25/47,629.50
6. Step 6: Final answer
   x = 106,463.28