Finding the Third Proportional to 10,596 and 15,569.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596 : 15,569.25 = 15,569.25 : x
2. Step 2: Convert to fraction form
   10,596/15,569.25 = 15,569.25/x
3. Step 3: Cross multiply
   10,596x = 15,569.25 × 15,569.25
4. Step 4: Simplify right side
   10,596x = 242,401,545.56
5. Step 5: Solve for x
   x = 242,401,545.56/10,596
6. Step 6: Final answer
   x = 22,876.70