Finding the Third Proportional to 31,920 and 58,656

Step by Step Solution

1. Step 1: Write the proportion equation
   31,920 : 58,656 = 58,656 : x
2. Step 2: Convert to fraction form
   31,920/58,656 = 58,656/x
3. Step 3: Cross multiply
   31,920x = 58,656 × 58,656
4. Step 4: Simplify right side
   31,920x = 3,440,526,336
5. Step 5: Solve for x
   x = 3,440,526,336/31,920
6. Step 6: Final answer
   x = 107,785.91