Finding the Third Proportional to 22,582.50 and 49,659

Step by Step Solution

1. Step 1: Write the proportion equation
   22,582.50 : 49,659 = 49,659 : x
2. Step 2: Convert to fraction form
   22,582.50/49,659 = 49,659/x
3. Step 3: Cross multiply
   22,582.50x = 49,659 × 49,659
4. Step 4: Simplify right side
   22,582.50x = 2,466,016,281
5. Step 5: Solve for x
   x = 2,466,016,281/22,582.50
6. Step 6: Final answer
   x = 109,200.32