Finding the Third Proportional to 1,176 and 1,932

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176 : 1,932 = 1,932 : x
2. Step 2: Convert to fraction form
   1,176/1,932 = 1,932/x
3. Step 3: Cross multiply
   1,176x = 1,932 × 1,932
4. Step 4: Simplify right side
   1,176x = 3,732,624
5. Step 5: Solve for x
   x = 3,732,624/1,176
6. Step 6: Final answer
   x = 3,174