Finding the Third Proportional to 345.52 and 735.33

Step by Step Solution

1. Step 1: Write the proportion equation
   345.52 : 735.33 = 735.33 : x
2. Step 2: Convert to fraction form
   345.52/735.33 = 735.33/x
3. Step 3: Cross multiply
   345.52x = 735.33 × 735.33
4. Step 4: Simplify right side
   345.52x = 540,707.45
5. Step 5: Solve for x
   x = 540,707.45/345.52
6. Step 6: Final answer
   x = 1,564.93