Finding the Third Proportional to 3,797 and 5,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,797 : 5,872.50 = 5,872.50 : x
2. Step 2: Convert to fraction form
   3,797/5,872.50 = 5,872.50/x
3. Step 3: Cross multiply
   3,797x = 5,872.50 × 5,872.50
4. Step 4: Simplify right side
   3,797x = 34,486,256.25
5. Step 5: Solve for x
   x = 34,486,256.25/3,797
6. Step 6: Final answer
   x = 9,082.50