Finding the Third Proportional to 2,638.75 and 5,646.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.75 : 5,646.75 = 5,646.75 : x
2. Step 2: Convert to fraction form
   2,638.75/5,646.75 = 5,646.75/x
3. Step 3: Cross multiply
   2,638.75x = 5,646.75 × 5,646.75
4. Step 4: Simplify right side
   2,638.75x = 31,885,785.56
5. Step 5: Solve for x
   x = 31,885,785.56/2,638.75
6. Step 6: Final answer
   x = 12,083.67