Finding the Third Proportional to 5,896.55 and 8,601.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.55 : 8,601.82 = 8,601.82 : x
2. Step 2: Convert to fraction form
   5,896.55/8,601.82 = 8,601.82/x
3. Step 3: Cross multiply
   5,896.55x = 8,601.82 × 8,601.82
4. Step 4: Simplify right side
   5,896.55x = 73,991,312.69
5. Step 5: Solve for x
   x = 73,991,312.69/5,896.55
6. Step 6: Final answer
   x = 12,548.24