Finding the Third Proportional to 5,896.50 and 13,899.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.50 : 13,899.75 = 13,899.75 : x
2. Step 2: Convert to fraction form
   5,896.50/13,899.75 = 13,899.75/x
3. Step 3: Cross multiply
   5,896.50x = 13,899.75 × 13,899.75
4. Step 4: Simplify right side
   5,896.50x = 193,203,050.06
5. Step 5: Solve for x
   x = 193,203,050.06/5,896.50
6. Step 6: Final answer
   x = 32,765.72