Finding the Third Proportional to 6,906 and 10,062

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906 : 10,062 = 10,062 : x
2. Step 2: Convert to fraction form
   6,906/10,062 = 10,062/x
3. Step 3: Cross multiply
   6,906x = 10,062 × 10,062
4. Step 4: Simplify right side
   6,906x = 101,243,844
5. Step 5: Solve for x
   x = 101,243,844/6,906
6. Step 6: Final answer
   x = 14,660.27