Finding the Third Proportional to 5,369 and 8,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,369 : 8,085.50 = 8,085.50 : x
2. Step 2: Convert to fraction form
   5,369/8,085.50 = 8,085.50/x
3. Step 3: Cross multiply
   5,369x = 8,085.50 × 8,085.50
4. Step 4: Simplify right side
   5,369x = 65,375,310.25
5. Step 5: Solve for x
   x = 65,375,310.25/5,369
6. Step 6: Final answer
   x = 12,176.44