Finding the Third Proportional to 6,906 and 11,118

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906 : 11,118 = 11,118 : x
2. Step 2: Convert to fraction form
   6,906/11,118 = 11,118/x
3. Step 3: Cross multiply
   6,906x = 11,118 × 11,118
4. Step 4: Simplify right side
   6,906x = 123,609,924
5. Step 5: Solve for x
   x = 123,609,924/6,906
6. Step 6: Final answer
   x = 17,898.92