Finding the Third Proportional to 8,077.50 and 17,786.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,077.50 : 17,786.25 = 17,786.25 : x
2. Step 2: Convert to fraction form
   8,077.50/17,786.25 = 17,786.25/x
3. Step 3: Cross multiply
   8,077.50x = 17,786.25 × 17,786.25
4. Step 4: Simplify right side
   8,077.50x = 316,350,689.06
5. Step 5: Solve for x
   x = 316,350,689.06/8,077.50
6. Step 6: Final answer
   x = 39,164.43