Finding the Third Proportional to 10,185.75 and 15,589.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 15,589.13 = 15,589.13 : x
2. Step 2: Convert to fraction form
   10,185.75/15,589.13 = 15,589.13/x
3. Step 3: Cross multiply
   10,185.75x = 15,589.13 × 15,589.13
4. Step 4: Simplify right side
   10,185.75x = 243,020,818.27
5. Step 5: Solve for x
   x = 243,020,818.27/10,185.75
6. Step 6: Final answer
   x = 23,858.90