Finding the Third Proportional to 1,478.25 and 2,248.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,478.25 : 2,248.31 = 2,248.31 : x
2. Step 2: Convert to fraction form
   1,478.25/2,248.31 = 2,248.31/x
3. Step 3: Cross multiply
   1,478.25x = 2,248.31 × 2,248.31
4. Step 4: Simplify right side
   1,478.25x = 5,054,909.10
5. Step 5: Solve for x
   x = 5,054,909.10/1,478.25
6. Step 6: Final answer
   x = 3,419.52