Finding the Third Proportional to 10,381.50 and 15,896.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.50 : 15,896.25 = 15,896.25 : x
2. Step 2: Convert to fraction form
   10,381.50/15,896.25 = 15,896.25/x
3. Step 3: Cross multiply
   10,381.50x = 15,896.25 × 15,896.25
4. Step 4: Simplify right side
   10,381.50x = 252,690,764.06
5. Step 5: Solve for x
   x = 252,690,764.06/10,381.50
6. Step 6: Final answer
   x = 24,340.49