Finding the Third Proportional to 5,118.75 and 7,826.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,118.75 : 7,826.06 = 7,826.06 : x
2. Step 2: Convert to fraction form
   5,118.75/7,826.06 = 7,826.06/x
3. Step 3: Cross multiply
   5,118.75x = 7,826.06 × 7,826.06
4. Step 4: Simplify right side
   5,118.75x = 61,247,254.25
5. Step 5: Solve for x
   x = 61,247,254.25/5,118.75
6. Step 6: Final answer
   x = 11,965.28