Finding the Third Proportional to 2,696.91 and 5,826.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,696.91 : 5,826.66 = 5,826.66 : x
2. Step 2: Convert to fraction form
   2,696.91/5,826.66 = 5,826.66/x
3. Step 3: Cross multiply
   2,696.91x = 5,826.66 × 5,826.66
4. Step 4: Simplify right side
   2,696.91x = 33,949,923.06
5. Step 5: Solve for x
   x = 33,949,923.06/2,696.91
6. Step 6: Final answer
   x = 12,588.47