Finding the Third Proportional to 1,132 and 1,754

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132 : 1,754 = 1,754 : x
2. Step 2: Convert to fraction form
   1,132/1,754 = 1,754/x
3. Step 3: Cross multiply
   1,132x = 1,754 × 1,754
4. Step 4: Simplify right side
   1,132x = 3,076,516
5. Step 5: Solve for x
   x = 3,076,516/1,132
6. Step 6: Final answer
   x = 2,717.77