Finding the Third Proportional to 10,242.56 and 15,458.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,242.56 : 15,458.06 = 15,458.06 : x
2. Step 2: Convert to fraction form
   10,242.56/15,458.06 = 15,458.06/x
3. Step 3: Cross multiply
   10,242.56x = 15,458.06 × 15,458.06
4. Step 4: Simplify right side
   10,242.56x = 238,951,696.25
5. Step 5: Solve for x
   x = 238,951,696.25/10,242.56
6. Step 6: Final answer
   x = 23,329.29