Finding the Third Proportional to 2,566.13 and 3,045.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.13 : 3,045.38 = 3,045.38 : x
2. Step 2: Convert to fraction form
   2,566.13/3,045.38 = 3,045.38/x
3. Step 3: Cross multiply
   2,566.13x = 3,045.38 × 3,045.38
4. Step 4: Simplify right side
   2,566.13x = 9,274,308.89
5. Step 5: Solve for x
   x = 9,274,308.89/2,566.13
6. Step 6: Final answer
   x = 3,614.13