Finding the Third Proportional to 8,292 and 9,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,292 : 9,196.50 = 9,196.50 : x
2. Step 2: Convert to fraction form
   8,292/9,196.50 = 9,196.50/x
3. Step 3: Cross multiply
   8,292x = 9,196.50 × 9,196.50
4. Step 4: Simplify right side
   8,292x = 84,575,612.25
5. Step 5: Solve for x
   x = 84,575,612.25/8,292
6. Step 6: Final answer
   x = 10,199.66