Finding the Third Proportional to 32,320 and 49,661

Step by Step Solution

1. Step 1: Write the proportion equation
   32,320 : 49,661 = 49,661 : x
2. Step 2: Convert to fraction form
   32,320/49,661 = 49,661/x
3. Step 3: Cross multiply
   32,320x = 49,661 × 49,661
4. Step 4: Simplify right side
   32,320x = 2,466,214,921
5. Step 5: Solve for x
   x = 2,466,214,921/32,320
6. Step 6: Final answer
   x = 76,306.15