Finding the Third Proportional to 2,478.56 and 3,649.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.56 : 3,649.31 = 3,649.31 : x
2. Step 2: Convert to fraction form
   2,478.56/3,649.31 = 3,649.31/x
3. Step 3: Cross multiply
   2,478.56x = 3,649.31 × 3,649.31
4. Step 4: Simplify right side
   2,478.56x = 13,317,481.72
5. Step 5: Solve for x
   x = 13,317,481.72/2,478.56
6. Step 6: Final answer
   x = 5,373.07