Finding the Third Proportional to 2,746.50 and 4,256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,746.50 : 4,256.25 = 4,256.25 : x
2. Step 2: Convert to fraction form
   2,746.50/4,256.25 = 4,256.25/x
3. Step 3: Cross multiply
   2,746.50x = 4,256.25 × 4,256.25
4. Step 4: Simplify right side
   2,746.50x = 18,115,664.06
5. Step 5: Solve for x
   x = 18,115,664.06/2,746.50
6. Step 6: Final answer
   x = 6,595.91