Finding the Third Proportional to 6,426 and 7,164

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426 : 7,164 = 7,164 : x
2. Step 2: Convert to fraction form
   6,426/7,164 = 7,164/x
3. Step 3: Cross multiply
   6,426x = 7,164 × 7,164
4. Step 4: Simplify right side
   6,426x = 51,322,896
5. Step 5: Solve for x
   x = 51,322,896/6,426
6. Step 6: Final answer
   x = 7,986.76