Finding the Third Proportional to 6,205 and 12,740

Step by Step Solution

1. Step 1: Write the proportion equation
   6,205 : 12,740 = 12,740 : x
2. Step 2: Convert to fraction form
   6,205/12,740 = 12,740/x
3. Step 3: Cross multiply
   6,205x = 12,740 × 12,740
4. Step 4: Simplify right side
   6,205x = 162,307,600
5. Step 5: Solve for x
   x = 162,307,600/6,205
6. Step 6: Final answer
   x = 26,157.55