Finding the Third Proportional to 6,906 and 13,188

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906 : 13,188 = 13,188 : x
2. Step 2: Convert to fraction form
   6,906/13,188 = 13,188/x
3. Step 3: Cross multiply
   6,906x = 13,188 × 13,188
4. Step 4: Simplify right side
   6,906x = 173,923,344
5. Step 5: Solve for x
   x = 173,923,344/6,906
6. Step 6: Final answer
   x = 25,184.38