Finding the Third Proportional to 12,200 and 12,968

Step by Step Solution

1. Step 1: Write the proportion equation
   12,200 : 12,968 = 12,968 : x
2. Step 2: Convert to fraction form
   12,200/12,968 = 12,968/x
3. Step 3: Cross multiply
   12,200x = 12,968 × 12,968
4. Step 4: Simplify right side
   12,200x = 168,169,024
5. Step 5: Solve for x
   x = 168,169,024/12,200
6. Step 6: Final answer
   x = 13,784.35