Finding the Third Proportional to 2,666.25 and 5,788.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666.25 : 5,788.13 = 5,788.13 : x
2. Step 2: Convert to fraction form
   2,666.25/5,788.13 = 5,788.13/x
3. Step 3: Cross multiply
   2,666.25x = 5,788.13 × 5,788.13
4. Step 4: Simplify right side
   2,666.25x = 33,502,391.02
5. Step 5: Solve for x
   x = 33,502,391.02/2,666.25
6. Step 6: Final answer
   x = 12,565.36