Finding the Third Proportional to 11,542.50 and 15,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,542.50 : 15,005.25 = 15,005.25 : x
2. Step 2: Convert to fraction form
   11,542.50/15,005.25 = 15,005.25/x
3. Step 3: Cross multiply
   11,542.50x = 15,005.25 × 15,005.25
4. Step 4: Simplify right side
   11,542.50x = 225,157,527.56
5. Step 5: Solve for x
   x = 225,157,527.56/11,542.50
6. Step 6: Final answer
   x = 19,506.83