Finding the Third Proportional to 47,416 and 63,632

Step by Step Solution

1. Step 1: Write the proportion equation
   47,416 : 63,632 = 63,632 : x
2. Step 2: Convert to fraction form
   47,416/63,632 = 63,632/x
3. Step 3: Cross multiply
   47,416x = 63,632 × 63,632
4. Step 4: Simplify right side
   47,416x = 4,049,031,424
5. Step 5: Solve for x
   x = 4,049,031,424/47,416
6. Step 6: Final answer
   x = 85,393.78