Finding the Third Proportional to 6,500 and 12,712

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500 : 12,712 = 12,712 : x
2. Step 2: Convert to fraction form
   6,500/12,712 = 12,712/x
3. Step 3: Cross multiply
   6,500x = 12,712 × 12,712
4. Step 4: Simplify right side
   6,500x = 161,594,944
5. Step 5: Solve for x
   x = 161,594,944/6,500
6. Step 6: Final answer
   x = 24,860.76