Finding the Third Proportional to 892 and 1,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   892 : 1,441.50 = 1,441.50 : x
2. Step 2: Convert to fraction form
   892/1,441.50 = 1,441.50/x
3. Step 3: Cross multiply
   892x = 1,441.50 × 1,441.50
4. Step 4: Simplify right side
   892x = 2,077,922.25
5. Step 5: Solve for x
   x = 2,077,922.25/892
6. Step 6: Final answer
   x = 2,329.51