Finding the Third Proportional to 11,668.50 and 16,980.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,668.50 : 16,980.75 = 16,980.75 : x
2. Step 2: Convert to fraction form
   11,668.50/16,980.75 = 16,980.75/x
3. Step 3: Cross multiply
   11,668.50x = 16,980.75 × 16,980.75
4. Step 4: Simplify right side
   11,668.50x = 288,345,870.56
5. Step 5: Solve for x
   x = 288,345,870.56/11,668.50
6. Step 6: Final answer
   x = 24,711.48