Finding the Third Proportional to 2,508.79 and 3,781.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508.79 : 3,781.69 = 3,781.69 : x
2. Step 2: Convert to fraction form
   2,508.79/3,781.69 = 3,781.69/x
3. Step 3: Cross multiply
   2,508.79x = 3,781.69 × 3,781.69
4. Step 4: Simplify right side
   2,508.79x = 14,301,160.35
5. Step 5: Solve for x
   x = 14,301,160.35/2,508.79
6. Step 6: Final answer
   x = 5,700.43