Finding the Third Proportional to 2,377.50 and 5,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.50 : 5,281.50 = 5,281.50 : x
2. Step 2: Convert to fraction form
   2,377.50/5,281.50 = 5,281.50/x
3. Step 3: Cross multiply
   2,377.50x = 5,281.50 × 5,281.50
4. Step 4: Simplify right side
   2,377.50x = 27,894,242.25
5. Step 5: Solve for x
   x = 27,894,242.25/2,377.50
6. Step 6: Final answer
   x = 11,732.59