Finding the Third Proportional to 6,085.13 and 10,585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,085.13 : 10,585.69 = 10,585.69 : x
2. Step 2: Convert to fraction form
   6,085.13/10,585.69 = 10,585.69/x
3. Step 3: Cross multiply
   6,085.13x = 10,585.69 × 10,585.69
4. Step 4: Simplify right side
   6,085.13x = 112,056,779.85
5. Step 5: Solve for x
   x = 112,056,779.85/6,085.13
6. Step 6: Final answer
   x = 18,414.87