Finding the Third Proportional to 1,262 and 1,372

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262 : 1,372 = 1,372 : x
2. Step 2: Convert to fraction form
   1,262/1,372 = 1,372/x
3. Step 3: Cross multiply
   1,262x = 1,372 × 1,372
4. Step 4: Simplify right side
   1,262x = 1,882,384
5. Step 5: Solve for x
   x = 1,882,384/1,262
6. Step 6: Final answer
   x = 1,491.59