Finding the Third Proportional to 5,258 and 5,996

Step by Step Solution

1. Step 1: Write the proportion equation
   5,258 : 5,996 = 5,996 : x
2. Step 2: Convert to fraction form
   5,258/5,996 = 5,996/x
3. Step 3: Cross multiply
   5,258x = 5,996 × 5,996
4. Step 4: Simplify right side
   5,258x = 35,952,016
5. Step 5: Solve for x
   x = 35,952,016/5,258
6. Step 6: Final answer
   x = 6,837.58