Finding the Third Proportional to 9,085 and 12,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085 : 12,883.50 = 12,883.50 : x
2. Step 2: Convert to fraction form
   9,085/12,883.50 = 12,883.50/x
3. Step 3: Cross multiply
   9,085x = 12,883.50 × 12,883.50
4. Step 4: Simplify right side
   9,085x = 165,984,572.25
5. Step 5: Solve for x
   x = 165,984,572.25/9,085
6. Step 6: Final answer
   x = 18,270.18