Finding the Third Proportional to 8,146.50 and 8,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,146.50 : 8,884.50 = 8,884.50 : x
2. Step 2: Convert to fraction form
   8,146.50/8,884.50 = 8,884.50/x
3. Step 3: Cross multiply
   8,146.50x = 8,884.50 × 8,884.50
4. Step 4: Simplify right side
   8,146.50x = 78,934,340.25
5. Step 5: Solve for x
   x = 78,934,340.25/8,146.50
6. Step 6: Final answer
   x = 9,689.36