Finding the Third Proportional to 6,834 and 11,091

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834 : 11,091 = 11,091 : x
2. Step 2: Convert to fraction form
   6,834/11,091 = 11,091/x
3. Step 3: Cross multiply
   6,834x = 11,091 × 11,091
4. Step 4: Simplify right side
   6,834x = 123,010,281
5. Step 5: Solve for x
   x = 123,010,281/6,834
6. Step 6: Final answer
   x = 17,999.75