Finding the Third Proportional to 22,598 and 34,569

Step by Step Solution

1. Step 1: Write the proportion equation
   22,598 : 34,569 = 34,569 : x
2. Step 2: Convert to fraction form
   22,598/34,569 = 34,569/x
3. Step 3: Cross multiply
   22,598x = 34,569 × 34,569
4. Step 4: Simplify right side
   22,598x = 1,195,015,761
5. Step 5: Solve for x
   x = 1,195,015,761/22,598
6. Step 6: Final answer
   x = 52,881.48