Finding the Third Proportional to 22,598 and 52,790

Step by Step Solution

1. Step 1: Write the proportion equation
   22,598 : 52,790 = 52,790 : x
2. Step 2: Convert to fraction form
   22,598/52,790 = 52,790/x
3. Step 3: Cross multiply
   22,598x = 52,790 × 52,790
4. Step 4: Simplify right side
   22,598x = 2,786,784,100
5. Step 5: Solve for x
   x = 2,786,784,100/22,598
6. Step 6: Final answer
   x = 123,319.94