Finding the Third Proportional to 2,466 and 3,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466 : 3,817.50 = 3,817.50 : x
2. Step 2: Convert to fraction form
   2,466/3,817.50 = 3,817.50/x
3. Step 3: Cross multiply
   2,466x = 3,817.50 × 3,817.50
4. Step 4: Simplify right side
   2,466x = 14,573,306.25
5. Step 5: Solve for x
   x = 14,573,306.25/2,466
6. Step 6: Final answer
   x = 5,909.69