Finding the Third Proportional to 2,549.92 and 5,616.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.92 : 5,616.84 = 5,616.84 : x
2. Step 2: Convert to fraction form
   2,549.92/5,616.84 = 5,616.84/x
3. Step 3: Cross multiply
   2,549.92x = 5,616.84 × 5,616.84
4. Step 4: Simplify right side
   2,549.92x = 31,548,933.71
5. Step 5: Solve for x
   x = 31,548,933.71/2,549.92
6. Step 6: Final answer
   x = 12,372.53