Finding the Third Proportional to 3,767.50 and 8,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767.50 : 8,732.50 = 8,732.50 : x
2. Step 2: Convert to fraction form
   3,767.50/8,732.50 = 8,732.50/x
3. Step 3: Cross multiply
   3,767.50x = 8,732.50 × 8,732.50
4. Step 4: Simplify right side
   3,767.50x = 76,256,556.25
5. Step 5: Solve for x
   x = 76,256,556.25/3,767.50
6. Step 6: Final answer
   x = 20,240.63