Finding the Third Proportional to 8,032.50 and 9,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,032.50 : 9,085.50 = 9,085.50 : x
2. Step 2: Convert to fraction form
   8,032.50/9,085.50 = 9,085.50/x
3. Step 3: Cross multiply
   8,032.50x = 9,085.50 × 9,085.50
4. Step 4: Simplify right side
   8,032.50x = 82,546,310.25
5. Step 5: Solve for x
   x = 82,546,310.25/8,032.50
6. Step 6: Final answer
   x = 10,276.54