Finding the Third Proportional to 2,595.57 and 3,892.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595.57 : 3,892.55 = 3,892.55 : x
2. Step 2: Convert to fraction form
   2,595.57/3,892.55 = 3,892.55/x
3. Step 3: Cross multiply
   2,595.57x = 3,892.55 × 3,892.55
4. Step 4: Simplify right side
   2,595.57x = 15,151,966.79
5. Step 5: Solve for x
   x = 15,151,966.79/2,595.57
6. Step 6: Final answer
   x = 5,837.63