Finding the Third Proportional to 5,797.59 and 12,415.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,797.59 : 12,415.03 = 12,415.03 : x
2. Step 2: Convert to fraction form
   5,797.59/12,415.03 = 12,415.03/x
3. Step 3: Cross multiply
   5,797.59x = 12,415.03 × 12,415.03
4. Step 4: Simplify right side
   5,797.59x = 154,133,000.94
5. Step 5: Solve for x
   x = 154,133,000.94/5,797.59
6. Step 6: Final answer
   x = 26,585.68