Finding the Third Proportional to 8,647.50 and 13,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,647.50 : 13,342.50 = 13,342.50 : x
2. Step 2: Convert to fraction form
   8,647.50/13,342.50 = 13,342.50/x
3. Step 3: Cross multiply
   8,647.50x = 13,342.50 × 13,342.50
4. Step 4: Simplify right side
   8,647.50x = 178,022,306.25
5. Step 5: Solve for x
   x = 178,022,306.25/8,647.50
6. Step 6: Final answer
   x = 20,586.56