Finding the Third Proportional to 31.69 and 43.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31.69 : 43.31 = 43.31 : x
2. Step 2: Convert to fraction form
   31.69/43.31 = 43.31/x
3. Step 3: Cross multiply
   31.69x = 43.31 × 43.31
4. Step 4: Simplify right side
   31.69x = 1,875.97
5. Step 5: Solve for x
   x = 1,875.97/31.69
6. Step 6: Final answer
   x = 59.20