Finding the Third Proportional to 2,648.25 and 4,123.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.25 : 4,123.13 = 4,123.13 : x
2. Step 2: Convert to fraction form
   2,648.25/4,123.13 = 4,123.13/x
3. Step 3: Cross multiply
   2,648.25x = 4,123.13 × 4,123.13
4. Step 4: Simplify right side
   2,648.25x = 17,000,159.77
5. Step 5: Solve for x
   x = 17,000,159.77/2,648.25
6. Step 6: Final answer
   x = 6,419.39