Finding the Third Proportional to 5,258 and 5,834

Step by Step Solution

1. Step 1: Write the proportion equation
   5,258 : 5,834 = 5,834 : x
2. Step 2: Convert to fraction form
   5,258/5,834 = 5,834/x
3. Step 3: Cross multiply
   5,258x = 5,834 × 5,834
4. Step 4: Simplify right side
   5,258x = 34,035,556
5. Step 5: Solve for x
   x = 34,035,556/5,258
6. Step 6: Final answer
   x = 6,473.10