Finding the Third Proportional to 2,892.86 and 4,065.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.86 : 4,065.39 = 4,065.39 : x
2. Step 2: Convert to fraction form
   2,892.86/4,065.39 = 4,065.39/x
3. Step 3: Cross multiply
   2,892.86x = 4,065.39 × 4,065.39
4. Step 4: Simplify right side
   2,892.86x = 16,527,357.26
5. Step 5: Solve for x
   x = 16,527,357.26/2,892.86
6. Step 6: Final answer
   x = 5,713.15