Finding the Third Proportional to 10,175.25 and 15,458.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,175.25 : 15,458.63 = 15,458.63 : x
2. Step 2: Convert to fraction form
   10,175.25/15,458.63 = 15,458.63/x
3. Step 3: Cross multiply
   10,175.25x = 15,458.63 × 15,458.63
4. Step 4: Simplify right side
   10,175.25x = 238,969,086.89
5. Step 5: Solve for x
   x = 238,969,086.89/10,175.25
6. Step 6: Final answer
   x = 23,485.33