Finding the Third Proportional to 8,850 and 12,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,850 : 12,586.50 = 12,586.50 : x
2. Step 2: Convert to fraction form
   8,850/12,586.50 = 12,586.50/x
3. Step 3: Cross multiply
   8,850x = 12,586.50 × 12,586.50
4. Step 4: Simplify right side
   8,850x = 158,419,982.25
5. Step 5: Solve for x
   x = 158,419,982.25/8,850
6. Step 6: Final answer
   x = 17,900.56