Finding the Third Proportional to 2,535.50 and 5,890.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.50 : 5,890.75 = 5,890.75 : x
2. Step 2: Convert to fraction form
   2,535.50/5,890.75 = 5,890.75/x
3. Step 3: Cross multiply
   2,535.50x = 5,890.75 × 5,890.75
4. Step 4: Simplify right side
   2,535.50x = 34,700,935.56
5. Step 5: Solve for x
   x = 34,700,935.56/2,535.50
6. Step 6: Final answer
   x = 13,686.03