Finding the Third Proportional to 10,182.38 and 15,381.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.38 : 15,381.56 = 15,381.56 : x
2. Step 2: Convert to fraction form
   10,182.38/15,381.56 = 15,381.56/x
3. Step 3: Cross multiply
   10,182.38x = 15,381.56 × 15,381.56
4. Step 4: Simplify right side
   10,182.38x = 236,592,464.94
5. Step 5: Solve for x
   x = 236,592,464.94/10,182.38
6. Step 6: Final answer
   x = 23,235.49