Finding the Third Proportional to 2,256.16 and 4,948.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.16 : 4,948.27 = 4,948.27 : x
2. Step 2: Convert to fraction form
   2,256.16/4,948.27 = 4,948.27/x
3. Step 3: Cross multiply
   2,256.16x = 4,948.27 × 4,948.27
4. Step 4: Simplify right side
   2,256.16x = 24,485,332.70
5. Step 5: Solve for x
   x = 24,485,332.70/2,256.16
6. Step 6: Final answer
   x = 10,852.64