Finding the Third Proportional to 345.25 and 743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345.25 : 743.50 = 743.50 : x
2. Step 2: Convert to fraction form
   345.25/743.50 = 743.50/x
3. Step 3: Cross multiply
   345.25x = 743.50 × 743.50
4. Step 4: Simplify right side
   345.25x = 552,792.25
5. Step 5: Solve for x
   x = 552,792.25/345.25
6. Step 6: Final answer
   x = 1,601.14