Finding the Third Proportional to 2,256.19 and 4,948.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.19 : 4,948.31 = 4,948.31 : x
2. Step 2: Convert to fraction form
   2,256.19/4,948.31 = 4,948.31/x
3. Step 3: Cross multiply
   2,256.19x = 4,948.31 × 4,948.31
4. Step 4: Simplify right side
   2,256.19x = 24,485,796.60
5. Step 5: Solve for x
   x = 24,485,796.60/2,256.19
6. Step 6: Final answer
   x = 10,852.73