Finding the Third Proportional to 11,676 and 17,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,676 : 17,516.50 = 17,516.50 : x
2. Step 2: Convert to fraction form
   11,676/17,516.50 = 17,516.50/x
3. Step 3: Cross multiply
   11,676x = 17,516.50 × 17,516.50
4. Step 4: Simplify right side
   11,676x = 306,827,772.25
5. Step 5: Solve for x
   x = 306,827,772.25/11,676
6. Step 6: Final answer
   x = 26,278.50