Finding the Third Proportional to 6,834 and 12,174

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834 : 12,174 = 12,174 : x
2. Step 2: Convert to fraction form
   6,834/12,174 = 12,174/x
3. Step 3: Cross multiply
   6,834x = 12,174 × 12,174
4. Step 4: Simplify right side
   6,834x = 148,206,276
5. Step 5: Solve for x
   x = 148,206,276/6,834
6. Step 6: Final answer
   x = 21,686.61