Finding the Third Proportional to 22,578 and 49,650

Step by Step Solution

1. Step 1: Write the proportion equation
   22,578 : 49,650 = 49,650 : x
2. Step 2: Convert to fraction form
   22,578/49,650 = 49,650/x
3. Step 3: Cross multiply
   22,578x = 49,650 × 49,650
4. Step 4: Simplify right side
   22,578x = 2,465,122,500
5. Step 5: Solve for x
   x = 2,465,122,500/22,578
6. Step 6: Final answer
   x = 109,182.50