Finding the Third Proportional to 2,595.38 and 3,892.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595.38 : 3,892.22 = 3,892.22 : x
2. Step 2: Convert to fraction form
   2,595.38/3,892.22 = 3,892.22/x
3. Step 3: Cross multiply
   2,595.38x = 3,892.22 × 3,892.22
4. Step 4: Simplify right side
   2,595.38x = 15,149,366.80
5. Step 5: Solve for x
   x = 15,149,366.80/2,595.38
6. Step 6: Final answer
   x = 5,837.06