Finding the Third Proportional to 11,742 and 17,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,742 : 17,299.50 = 17,299.50 : x
2. Step 2: Convert to fraction form
   11,742/17,299.50 = 17,299.50/x
3. Step 3: Cross multiply
   11,742x = 17,299.50 × 17,299.50
4. Step 4: Simplify right side
   11,742x = 299,272,700.25
5. Step 5: Solve for x
   x = 299,272,700.25/11,742
6. Step 6: Final answer
   x = 25,487.37