Finding the Third Proportional to 39,960 and 58,496

Step by Step Solution

1. Step 1: Write the proportion equation
   39,960 : 58,496 = 58,496 : x
2. Step 2: Convert to fraction form
   39,960/58,496 = 58,496/x
3. Step 3: Cross multiply
   39,960x = 58,496 × 58,496
4. Step 4: Simplify right side
   39,960x = 3,421,782,016
5. Step 5: Solve for x
   x = 3,421,782,016/39,960
6. Step 6: Final answer
   x = 85,630.18