Finding the Third Proportional to 6,001.88 and 9,085.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,001.88 : 9,085.69 = 9,085.69 : x
2. Step 2: Convert to fraction form
   6,001.88/9,085.69 = 9,085.69/x
3. Step 3: Cross multiply
   6,001.88x = 9,085.69 × 9,085.69
4. Step 4: Simplify right side
   6,001.88x = 82,549,717.35
5. Step 5: Solve for x
   x = 82,549,717.35/6,001.88
6. Step 6: Final answer
   x = 13,753.99