Finding the Third Proportional to 42,480 and 59,415

Step by Step Solution

1. Step 1: Write the proportion equation
   42,480 : 59,415 = 59,415 : x
2. Step 2: Convert to fraction form
   42,480/59,415 = 59,415/x
3. Step 3: Cross multiply
   42,480x = 59,415 × 59,415
4. Step 4: Simplify right side
   42,480x = 3,530,142,225
5. Step 5: Solve for x
   x = 3,530,142,225/42,480
6. Step 6: Final answer
   x = 83,101.28