Finding the Third Proportional to 32,077.50 and 65,415

Step by Step Solution

1. Step 1: Write the proportion equation
   32,077.50 : 65,415 = 65,415 : x
2. Step 2: Convert to fraction form
   32,077.50/65,415 = 65,415/x
3. Step 3: Cross multiply
   32,077.50x = 65,415 × 65,415
4. Step 4: Simplify right side
   32,077.50x = 4,279,122,225
5. Step 5: Solve for x
   x = 4,279,122,225/32,077.50
6. Step 6: Final answer
   x = 133,399.49