Finding the Third Proportional to 7,114 and 12,662

Step by Step Solution

1. Step 1: Write the proportion equation
   7,114 : 12,662 = 12,662 : x
2. Step 2: Convert to fraction form
   7,114/12,662 = 12,662/x
3. Step 3: Cross multiply
   7,114x = 12,662 × 12,662
4. Step 4: Simplify right side
   7,114x = 160,326,244
5. Step 5: Solve for x
   x = 160,326,244/7,114
6. Step 6: Final answer
   x = 22,536.72