Finding the Third Proportional to 47,662 and 71,403

Step by Step Solution

1. Step 1: Write the proportion equation
   47,662 : 71,403 = 71,403 : x
2. Step 2: Convert to fraction form
   47,662/71,403 = 71,403/x
3. Step 3: Cross multiply
   47,662x = 71,403 × 71,403
4. Step 4: Simplify right side
   47,662x = 5,098,388,409
5. Step 5: Solve for x
   x = 5,098,388,409/47,662
6. Step 6: Final answer
   x = 106,969.67