Finding the Third Proportional to 10,642.50 and 16,661.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.50 : 16,661.25 = 16,661.25 : x
2. Step 2: Convert to fraction form
   10,642.50/16,661.25 = 16,661.25/x
3. Step 3: Cross multiply
   10,642.50x = 16,661.25 × 16,661.25
4. Step 4: Simplify right side
   10,642.50x = 277,597,251.56
5. Step 5: Solve for x
   x = 277,597,251.56/10,642.50
6. Step 6: Final answer
   x = 26,083.84