Finding the Third Proportional to 3,790.50 and 5,847.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,790.50 : 5,847.75 = 5,847.75 : x
2. Step 2: Convert to fraction form
   3,790.50/5,847.75 = 5,847.75/x
3. Step 3: Cross multiply
   3,790.50x = 5,847.75 × 5,847.75
4. Step 4: Simplify right side
   3,790.50x = 34,196,180.06
5. Step 5: Solve for x
   x = 34,196,180.06/3,790.50
6. Step 6: Final answer
   x = 9,021.55