Finding the Third Proportional to 6,789 and 12,102

Step by Step Solution

1. Step 1: Write the proportion equation
   6,789 : 12,102 = 12,102 : x
2. Step 2: Convert to fraction form
   6,789/12,102 = 12,102/x
3. Step 3: Cross multiply
   6,789x = 12,102 × 12,102
4. Step 4: Simplify right side
   6,789x = 146,458,404
5. Step 5: Solve for x
   x = 146,458,404/6,789
6. Step 6: Final answer
   x = 21,572.90