Finding the Third Proportional to 31.69 and 45.28

Step by Step Solution

1. Step 1: Write the proportion equation
   31.69 : 45.28 = 45.28 : x
2. Step 2: Convert to fraction form
   31.69/45.28 = 45.28/x
3. Step 3: Cross multiply
   31.69x = 45.28 × 45.28
4. Step 4: Simplify right side
   31.69x = 2,050.39
5. Step 5: Solve for x
   x = 2,050.39/31.69
6. Step 6: Final answer
   x = 64.71