Finding the Third Proportional to 405.38 and 465.38

Step by Step Solution

1. Step 1: Write the proportion equation
   405.38 : 465.38 = 465.38 : x
2. Step 2: Convert to fraction form
   405.38/465.38 = 465.38/x
3. Step 3: Cross multiply
   405.38x = 465.38 × 465.38
4. Step 4: Simplify right side
   405.38x = 216,573.89
5. Step 5: Solve for x
   x = 216,573.89/405.38
6. Step 6: Final answer
   x = 534.26