Finding the Third Proportional to 32,920 and 49,665

Step by Step Solution

1. Step 1: Write the proportion equation
   32,920 : 49,665 = 49,665 : x
2. Step 2: Convert to fraction form
   32,920/49,665 = 49,665/x
3. Step 3: Cross multiply
   32,920x = 49,665 × 49,665
4. Step 4: Simplify right side
   32,920x = 2,466,612,225
5. Step 5: Solve for x
   x = 2,466,612,225/32,920
6. Step 6: Final answer
   x = 74,927.47