Finding the Third Proportional to 11,769 and 17,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,769 : 17,011.50 = 17,011.50 : x
2. Step 2: Convert to fraction form
   11,769/17,011.50 = 17,011.50/x
3. Step 3: Cross multiply
   11,769x = 17,011.50 × 17,011.50
4. Step 4: Simplify right side
   11,769x = 289,391,132.25
5. Step 5: Solve for x
   x = 289,391,132.25/11,769
6. Step 6: Final answer
   x = 24,589.27