Finding the Third Proportional to 2,478.09 and 3,727.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.09 : 3,727.69 = 3,727.69 : x
2. Step 2: Convert to fraction form
   2,478.09/3,727.69 = 3,727.69/x
3. Step 3: Cross multiply
   2,478.09x = 3,727.69 × 3,727.69
4. Step 4: Simplify right side
   2,478.09x = 13,895,654.10
5. Step 5: Solve for x
   x = 13,895,654.10/2,478.09
6. Step 6: Final answer
   x = 5,607.40