Finding the Third Proportional to 6,501 and 13,422

Step by Step Solution

1. Step 1: Write the proportion equation
   6,501 : 13,422 = 13,422 : x
2. Step 2: Convert to fraction form
   6,501/13,422 = 13,422/x
3. Step 3: Cross multiply
   6,501x = 13,422 × 13,422
4. Step 4: Simplify right side
   6,501x = 180,150,084
5. Step 5: Solve for x
   x = 180,150,084/6,501
6. Step 6: Final answer
   x = 27,711.13