Finding the Third Proportional to 6,082.59 and 9,158.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,082.59 : 9,158.06 = 9,158.06 : x
2. Step 2: Convert to fraction form
   6,082.59/9,158.06 = 9,158.06/x
3. Step 3: Cross multiply
   6,082.59x = 9,158.06 × 9,158.06
4. Step 4: Simplify right side
   6,082.59x = 83,870,108.75
5. Step 5: Solve for x
   x = 83,870,108.75/6,082.59
6. Step 6: Final answer
   x = 13,788.54