Finding the Third Proportional to 10,596.38 and 15,569.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.38 : 15,569.81 = 15,569.81 : x
2. Step 2: Convert to fraction form
   10,596.38/15,569.81 = 15,569.81/x
3. Step 3: Cross multiply
   10,596.38x = 15,569.81 × 15,569.81
4. Step 4: Simplify right side
   10,596.38x = 242,419,061.29
5. Step 5: Solve for x
   x = 242,419,061.29/10,596.38
6. Step 6: Final answer
   x = 22,877.55