Finding the Third Proportional to 2,082.59 and 3,092.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.59 : 3,092.55 = 3,092.55 : x
2. Step 2: Convert to fraction form
   2,082.59/3,092.55 = 3,092.55/x
3. Step 3: Cross multiply
   2,082.59x = 3,092.55 × 3,092.55
4. Step 4: Simplify right side
   2,082.59x = 9,563,894.50
5. Step 5: Solve for x
   x = 9,563,894.50/2,082.59
6. Step 6: Final answer
   x = 4,592.32