Finding the Third Proportional to 8,147.50 and 12,595

Step by Step Solution

1. Step 1: Write the proportion equation
   8,147.50 : 12,595 = 12,595 : x
2. Step 2: Convert to fraction form
   8,147.50/12,595 = 12,595/x
3. Step 3: Cross multiply
   8,147.50x = 12,595 × 12,595
4. Step 4: Simplify right side
   8,147.50x = 158,634,025
5. Step 5: Solve for x
   x = 158,634,025/8,147.50
6. Step 6: Final answer
   x = 19,470.27