Finding the Third Proportional to 5,826.88 and 12,688.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,826.88 : 12,688.38 = 12,688.38 : x
2. Step 2: Convert to fraction form
   5,826.88/12,688.38 = 12,688.38/x
3. Step 3: Cross multiply
   5,826.88x = 12,688.38 × 12,688.38
4. Step 4: Simplify right side
   5,826.88x = 160,994,860.14
5. Step 5: Solve for x
   x = 160,994,860.14/5,826.88
6. Step 6: Final answer
   x = 27,629.71