Finding the Third Proportional to 6,465 and 12,651

Step by Step Solution

1. Step 1: Write the proportion equation
   6,465 : 12,651 = 12,651 : x
2. Step 2: Convert to fraction form
   6,465/12,651 = 12,651/x
3. Step 3: Cross multiply
   6,465x = 12,651 × 12,651
4. Step 4: Simplify right side
   6,465x = 160,047,801
5. Step 5: Solve for x
   x = 160,047,801/6,465
6. Step 6: Final answer
   x = 24,756.04