Finding the Third Proportional to 6,082.59 and 8,884.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,082.59 : 8,884.69 = 8,884.69 : x
2. Step 2: Convert to fraction form
   6,082.59/8,884.69 = 8,884.69/x
3. Step 3: Cross multiply
   6,082.59x = 8,884.69 × 8,884.69
4. Step 4: Simplify right side
   6,082.59x = 78,937,671.97
5. Step 5: Solve for x
   x = 78,937,671.97/6,082.59
6. Step 6: Final answer
   x = 12,977.63