Finding the Third Proportional to 9,682.03 and 17,761.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.03 : 17,761.78 = 17,761.78 : x
2. Step 2: Convert to fraction form
   9,682.03/17,761.78 = 17,761.78/x
3. Step 3: Cross multiply
   9,682.03x = 17,761.78 × 17,761.78
4. Step 4: Simplify right side
   9,682.03x = 315,480,873.17
5. Step 5: Solve for x
   x = 315,480,873.17/9,682.03
6. Step 6: Final answer
   x = 32,584.16