Finding the Third Proportional to 2,649.27 and 4,207.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.27 : 4,207.89 = 4,207.89 : x
2. Step 2: Convert to fraction form
   2,649.27/4,207.89 = 4,207.89/x
3. Step 3: Cross multiply
   2,649.27x = 4,207.89 × 4,207.89
4. Step 4: Simplify right side
   2,649.27x = 17,706,310.64
5. Step 5: Solve for x
   x = 17,706,310.64/2,649.27
6. Step 6: Final answer
   x = 6,683.47