Finding the Third Proportional to 6,838 and 10,064

Step by Step Solution

1. Step 1: Write the proportion equation
   6,838 : 10,064 = 10,064 : x
2. Step 2: Convert to fraction form
   6,838/10,064 = 10,064/x
3. Step 3: Cross multiply
   6,838x = 10,064 × 10,064
4. Step 4: Simplify right side
   6,838x = 101,284,096
5. Step 5: Solve for x
   x = 101,284,096/6,838
6. Step 6: Final answer
   x = 14,811.95