Finding the Third Proportional to 45,632 and 67,782

Step by Step Solution

1. Step 1: Write the proportion equation
   45,632 : 67,782 = 67,782 : x
2. Step 2: Convert to fraction form
   45,632/67,782 = 67,782/x
3. Step 3: Cross multiply
   45,632x = 67,782 × 67,782
4. Step 4: Simplify right side
   45,632x = 4,594,399,524
5. Step 5: Solve for x
   x = 4,594,399,524/45,632
6. Step 6: Final answer
   x = 100,683.72