Finding the Third Proportional to 6,948 and 17,258

Step by Step Solution

1. Step 1: Write the proportion equation
   6,948 : 17,258 = 17,258 : x
2. Step 2: Convert to fraction form
   6,948/17,258 = 17,258/x
3. Step 3: Cross multiply
   6,948x = 17,258 × 17,258
4. Step 4: Simplify right side
   6,948x = 297,838,564
5. Step 5: Solve for x
   x = 297,838,564/6,948
6. Step 6: Final answer
   x = 42,866.81