Finding the Third Proportional to 6,506 and 12,724

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506 : 12,724 = 12,724 : x
2. Step 2: Convert to fraction form
   6,506/12,724 = 12,724/x
3. Step 3: Cross multiply
   6,506x = 12,724 × 12,724
4. Step 4: Simplify right side
   6,506x = 161,900,176
5. Step 5: Solve for x
   x = 161,900,176/6,506
6. Step 6: Final answer
   x = 24,884.75