Finding the Third Proportional to 2,566.50 and 3,849.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.50 : 3,849.75 = 3,849.75 : x
2. Step 2: Convert to fraction form
   2,566.50/3,849.75 = 3,849.75/x
3. Step 3: Cross multiply
   2,566.50x = 3,849.75 × 3,849.75
4. Step 4: Simplify right side
   2,566.50x = 14,820,575.06
5. Step 5: Solve for x
   x = 14,820,575.06/2,566.50
6. Step 6: Final answer
   x = 5,774.63