Finding the Third Proportional to 11,536 and 15,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,536 : 15,147.50 = 15,147.50 : x
2. Step 2: Convert to fraction form
   11,536/15,147.50 = 15,147.50/x
3. Step 3: Cross multiply
   11,536x = 15,147.50 × 15,147.50
4. Step 4: Simplify right side
   11,536x = 229,446,756.25
5. Step 5: Solve for x
   x = 229,446,756.25/11,536
6. Step 6: Final answer
   x = 19,889.63