Finding the Third Proportional to 11,976.75 and 17,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,976.75 : 17,617.50 = 17,617.50 : x
2. Step 2: Convert to fraction form
   11,976.75/17,617.50 = 17,617.50/x
3. Step 3: Cross multiply
   11,976.75x = 17,617.50 × 17,617.50
4. Step 4: Simplify right side
   11,976.75x = 310,376,306.25
5. Step 5: Solve for x
   x = 310,376,306.25/11,976.75
6. Step 6: Final answer
   x = 25,914.90