Finding the Third Proportional to 3,775.50 and 5,834.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,775.50 : 5,834.25 = 5,834.25 : x
2. Step 2: Convert to fraction form
   3,775.50/5,834.25 = 5,834.25/x
3. Step 3: Cross multiply
   3,775.50x = 5,834.25 × 5,834.25
4. Step 4: Simplify right side
   3,775.50x = 34,038,473.06
5. Step 5: Solve for x
   x = 34,038,473.06/3,775.50
6. Step 6: Final answer
   x = 9,015.62