Finding the Third Proportional to 401 and 1,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401 : 1,011.50 = 1,011.50 : x
2. Step 2: Convert to fraction form
   401/1,011.50 = 1,011.50/x
3. Step 3: Cross multiply
   401x = 1,011.50 × 1,011.50
4. Step 4: Simplify right side
   401x = 1,023,132.25
5. Step 5: Solve for x
   x = 1,023,132.25/401
6. Step 6: Final answer
   x = 2,551.45