Finding the Third Proportional to 6,468 and 10,534

Step by Step Solution

1. Step 1: Write the proportion equation
   6,468 : 10,534 = 10,534 : x
2. Step 2: Convert to fraction form
   6,468/10,534 = 10,534/x
3. Step 3: Cross multiply
   6,468x = 10,534 × 10,534
4. Step 4: Simplify right side
   6,468x = 110,965,156
5. Step 5: Solve for x
   x = 110,965,156/6,468
6. Step 6: Final answer
   x = 17,156.02