Finding the Third Proportional to 3,823.50 and 5,808

Step by Step Solution

1. Step 1: Write the proportion equation
   3,823.50 : 5,808 = 5,808 : x
2. Step 2: Convert to fraction form
   3,823.50/5,808 = 5,808/x
3. Step 3: Cross multiply
   3,823.50x = 5,808 × 5,808
4. Step 4: Simplify right side
   3,823.50x = 33,732,864
5. Step 5: Solve for x
   x = 33,732,864/3,823.50
6. Step 6: Final answer
   x = 8,822.51