Finding the Third Proportional to 11,442 and 17,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,442 : 17,116.50 = 17,116.50 : x
2. Step 2: Convert to fraction form
   11,442/17,116.50 = 17,116.50/x
3. Step 3: Cross multiply
   11,442x = 17,116.50 × 17,116.50
4. Step 4: Simplify right side
   11,442x = 292,974,572.25
5. Step 5: Solve for x
   x = 292,974,572.25/11,442
6. Step 6: Final answer
   x = 25,605.19