Finding the Third Proportional to 11,680.50 and 26,285.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680.50 : 26,285.25 = 26,285.25 : x
2. Step 2: Convert to fraction form
   11,680.50/26,285.25 = 26,285.25/x
3. Step 3: Cross multiply
   11,680.50x = 26,285.25 × 26,285.25
4. Step 4: Simplify right side
   11,680.50x = 690,914,367.56
5. Step 5: Solve for x
   x = 690,914,367.56/11,680.50
6. Step 6: Final answer
   x = 59,151.10