Finding the Third Proportional to 8,049 and 10,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,049 : 10,585.50 = 10,585.50 : x
2. Step 2: Convert to fraction form
   8,049/10,585.50 = 10,585.50/x
3. Step 3: Cross multiply
   8,049x = 10,585.50 × 10,585.50
4. Step 4: Simplify right side
   8,049x = 112,052,810.25
5. Step 5: Solve for x
   x = 112,052,810.25/8,049
6. Step 6: Final answer
   x = 13,921.33