Finding the Third Proportional to 1,222 and 1,342

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222 : 1,342 = 1,342 : x
2. Step 2: Convert to fraction form
   1,222/1,342 = 1,342/x
3. Step 3: Cross multiply
   1,222x = 1,342 × 1,342
4. Step 4: Simplify right side
   1,222x = 1,800,964
5. Step 5: Solve for x
   x = 1,800,964/1,222
6. Step 6: Final answer
   x = 1,473.78