Finding the Third Proportional to 2,375.25 and 5,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,375.25 : 5,209.50 = 5,209.50 : x
2. Step 2: Convert to fraction form
   2,375.25/5,209.50 = 5,209.50/x
3. Step 3: Cross multiply
   2,375.25x = 5,209.50 × 5,209.50
4. Step 4: Simplify right side
   2,375.25x = 27,138,890.25
5. Step 5: Solve for x
   x = 27,138,890.25/2,375.25
6. Step 6: Final answer
   x = 11,425.70