Finding the Third Proportional to 47,632 and 71,880

Step by Step Solution

1. Step 1: Write the proportion equation
   47,632 : 71,880 = 71,880 : x
2. Step 2: Convert to fraction form
   47,632/71,880 = 71,880/x
3. Step 3: Cross multiply
   47,632x = 71,880 × 71,880
4. Step 4: Simplify right side
   47,632x = 5,166,734,400
5. Step 5: Solve for x
   x = 5,166,734,400/47,632
6. Step 6: Final answer
   x = 108,471.92