Finding the Third Proportional to 11,826.50 and 17,789.13

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826.50 : 17,789.13 = 17,789.13 : x
2. Step 2: Convert to fraction form
   11,826.50/17,789.13 = 17,789.13/x
3. Step 3: Cross multiply
   11,826.50x = 17,789.13 × 17,789.13
4. Step 4: Simplify right side
   11,826.50x = 316,452,968.27
5. Step 5: Solve for x
   x = 316,452,968.27/11,826.50
6. Step 6: Final answer
   x = 26,757.96