Finding the Third Proportional to 5,914.69 and 12,826.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,914.69 : 12,826.69 = 12,826.69 : x
2. Step 2: Convert to fraction form
   5,914.69/12,826.69 = 12,826.69/x
3. Step 3: Cross multiply
   5,914.69x = 12,826.69 × 12,826.69
4. Step 4: Simplify right side
   5,914.69x = 164,523,912.22
5. Step 5: Solve for x
   x = 164,523,912.22/5,914.69
6. Step 6: Final answer
   x = 27,816.16