Finding the Third Proportional to 2,746.13 and 5,856.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,746.13 : 5,856.75 = 5,856.75 : x
2. Step 2: Convert to fraction form
   2,746.13/5,856.75 = 5,856.75/x
3. Step 3: Cross multiply
   2,746.13x = 5,856.75 × 5,856.75
4. Step 4: Simplify right side
   2,746.13x = 34,301,520.56
5. Step 5: Solve for x
   x = 34,301,520.56/2,746.13
6. Step 6: Final answer
   x = 12,490.88