Finding the Third Proportional to 31.31 and 40.03

Step by Step Solution

1. Step 1: Write the proportion equation
   31.31 : 40.03 = 40.03 : x
2. Step 2: Convert to fraction form
   31.31/40.03 = 40.03/x
3. Step 3: Cross multiply
   31.31x = 40.03 × 40.03
4. Step 4: Simplify right side
   31.31x = 1,602.50
5. Step 5: Solve for x
   x = 1,602.50/31.31
6. Step 6: Final answer
   x = 51.18