Finding the Third Proportional to 933.50 and 1,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   933.50 : 1,496.50 = 1,496.50 : x
2. Step 2: Convert to fraction form
   933.50/1,496.50 = 1,496.50/x
3. Step 3: Cross multiply
   933.50x = 1,496.50 × 1,496.50
4. Step 4: Simplify right side
   933.50x = 2,239,512.25
5. Step 5: Solve for x
   x = 2,239,512.25/933.50
6. Step 6: Final answer
   x = 2,399.05