Finding the Third Proportional to 946 and 1,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   946 : 1,441.50 = 1,441.50 : x
2. Step 2: Convert to fraction form
   946/1,441.50 = 1,441.50/x
3. Step 3: Cross multiply
   946x = 1,441.50 × 1,441.50
4. Step 4: Simplify right side
   946x = 2,077,922.25
5. Step 5: Solve for x
   x = 2,077,922.25/946
6. Step 6: Final answer
   x = 2,196.54