Finding the Third Proportional to 22,320 and 52,598

Step by Step Solution

1. Step 1: Write the proportion equation
   22,320 : 52,598 = 52,598 : x
2. Step 2: Convert to fraction form
   22,320/52,598 = 52,598/x
3. Step 3: Cross multiply
   22,320x = 52,598 × 52,598
4. Step 4: Simplify right side
   22,320x = 2,766,549,604
5. Step 5: Solve for x
   x = 2,766,549,604/22,320
6. Step 6: Final answer
   x = 123,949.36