Finding the Third Proportional to 2,497.92 and 5,767.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,497.92 : 5,767.45 = 5,767.45 : x
2. Step 2: Convert to fraction form
   2,497.92/5,767.45 = 5,767.45/x
3. Step 3: Cross multiply
   2,497.92x = 5,767.45 × 5,767.45
4. Step 4: Simplify right side
   2,497.92x = 33,263,515.55
5. Step 5: Solve for x
   x = 33,263,515.55/2,497.92
6. Step 6: Final answer
   x = 13,316.48