Finding the Third Proportional to 6,942 and 10,164

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942 : 10,164 = 10,164 : x
2. Step 2: Convert to fraction form
   6,942/10,164 = 10,164/x
3. Step 3: Cross multiply
   6,942x = 10,164 × 10,164
4. Step 4: Simplify right side
   6,942x = 103,306,896
5. Step 5: Solve for x
   x = 103,306,896/6,942
6. Step 6: Final answer
   x = 14,881.43