Finding the Third Proportional to 40,782 and 60,415

Step by Step Solution

1. Step 1: Write the proportion equation
   40,782 : 60,415 = 60,415 : x
2. Step 2: Convert to fraction form
   40,782/60,415 = 60,415/x
3. Step 3: Cross multiply
   40,782x = 60,415 × 60,415
4. Step 4: Simplify right side
   40,782x = 3,649,972,225
5. Step 5: Solve for x
   x = 3,649,972,225/40,782
6. Step 6: Final answer
   x = 89,499.59