Finding the Third Proportional to 9,085.50 and 9,684

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.50 : 9,684 = 9,684 : x
2. Step 2: Convert to fraction form
   9,085.50/9,684 = 9,684/x
3. Step 3: Cross multiply
   9,085.50x = 9,684 × 9,684
4. Step 4: Simplify right side
   9,085.50x = 93,779,856
5. Step 5: Solve for x
   x = 93,779,856/9,085.50
6. Step 6: Final answer
   x = 10,321.93