Finding the Third Proportional to 6,528 and 12,966

Step by Step Solution

1. Step 1: Write the proportion equation
   6,528 : 12,966 = 12,966 : x
2. Step 2: Convert to fraction form
   6,528/12,966 = 12,966/x
3. Step 3: Cross multiply
   6,528x = 12,966 × 12,966
4. Step 4: Simplify right side
   6,528x = 168,117,156
5. Step 5: Solve for x
   x = 168,117,156/6,528
6. Step 6: Final answer
   x = 25,753.24