Finding the Third Proportional to 3,757.50 and 5,818

Step by Step Solution

1. Step 1: Write the proportion equation
   3,757.50 : 5,818 = 5,818 : x
2. Step 2: Convert to fraction form
   3,757.50/5,818 = 5,818/x
3. Step 3: Cross multiply
   3,757.50x = 5,818 × 5,818
4. Step 4: Simplify right side
   3,757.50x = 33,849,124
5. Step 5: Solve for x
   x = 33,849,124/3,757.50
6. Step 6: Final answer
   x = 9,008.42