Finding the Third Proportional to 5,896.55 and 9,682.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.55 : 9,682.03 = 9,682.03 : x
2. Step 2: Convert to fraction form
   5,896.55/9,682.03 = 9,682.03/x
3. Step 3: Cross multiply
   5,896.55x = 9,682.03 × 9,682.03
4. Step 4: Simplify right side
   5,896.55x = 93,741,729.13
5. Step 5: Solve for x
   x = 93,741,729.13/5,896.55
6. Step 6: Final answer
   x = 15,897.73