Finding the Third Proportional to 546.50 and 1,132

Step by Step Solution

1. Step 1: Write the proportion equation
   546.50 : 1,132 = 1,132 : x
2. Step 2: Convert to fraction form
   546.50/1,132 = 1,132/x
3. Step 3: Cross multiply
   546.50x = 1,132 × 1,132
4. Step 4: Simplify right side
   546.50x = 1,281,424
5. Step 5: Solve for x
   x = 1,281,424/546.50
6. Step 6: Final answer
   x = 2,344.78