Finding the Third Proportional to 2,502 and 5,838

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502 : 5,838 = 5,838 : x
2. Step 2: Convert to fraction form
   2,502/5,838 = 5,838/x
3. Step 3: Cross multiply
   2,502x = 5,838 × 5,838
4. Step 4: Simplify right side
   2,502x = 34,082,244
5. Step 5: Solve for x
   x = 34,082,244/2,502
6. Step 6: Final answer
   x = 13,622