Finding the Third Proportional to 345.38 and 736.31

Step by Step Solution

1. Step 1: Write the proportion equation
   345.38 : 736.31 = 736.31 : x
2. Step 2: Convert to fraction form
   345.38/736.31 = 736.31/x
3. Step 3: Cross multiply
   345.38x = 736.31 × 736.31
4. Step 4: Simplify right side
   345.38x = 542,156.10
5. Step 5: Solve for x
   x = 542,156.10/345.38
6. Step 6: Final answer
   x = 1,569.76