Finding the Third Proportional to 3,874.24 and 5,839.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874.24 : 5,839.12 = 5,839.12 : x
2. Step 2: Convert to fraction form
   3,874.24/5,839.12 = 5,839.12/x
3. Step 3: Cross multiply
   3,874.24x = 5,839.12 × 5,839.12
4. Step 4: Simplify right side
   3,874.24x = 34,095,312.34
5. Step 5: Solve for x
   x = 34,095,312.34/3,874.24
6. Step 6: Final answer
   x = 8,800.52