Finding the Third Proportional to 10,357.50 and 15,536.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.50 : 15,536.25 = 15,536.25 : x
2. Step 2: Convert to fraction form
   10,357.50/15,536.25 = 15,536.25/x
3. Step 3: Cross multiply
   10,357.50x = 15,536.25 × 15,536.25
4. Step 4: Simplify right side
   10,357.50x = 241,375,064.06
5. Step 5: Solve for x
   x = 241,375,064.06/10,357.50
6. Step 6: Final answer
   x = 23,304.38