Finding the Third Proportional to 2,077.50 and 5,469.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.50 : 5,469.75 = 5,469.75 : x
2. Step 2: Convert to fraction form
   2,077.50/5,469.75 = 5,469.75/x
3. Step 3: Cross multiply
   2,077.50x = 5,469.75 × 5,469.75
4. Step 4: Simplify right side
   2,077.50x = 29,918,165.06
5. Step 5: Solve for x
   x = 29,918,165.06/2,077.50
6. Step 6: Final answer
   x = 14,401.04