Finding the Third Proportional to 446 and 1,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   446 : 1,041.50 = 1,041.50 : x
2. Step 2: Convert to fraction form
   446/1,041.50 = 1,041.50/x
3. Step 3: Cross multiply
   446x = 1,041.50 × 1,041.50
4. Step 4: Simplify right side
   446x = 1,084,722.25
5. Step 5: Solve for x
   x = 1,084,722.25/446
6. Step 6: Final answer
   x = 2,432.11