Finding the Third Proportional to 345.75 and 849.38

Step by Step Solution

1. Step 1: Write the proportion equation
   345.75 : 849.38 = 849.38 : x
2. Step 2: Convert to fraction form
   345.75/849.38 = 849.38/x
3. Step 3: Cross multiply
   345.75x = 849.38 × 849.38
4. Step 4: Simplify right side
   345.75x = 721,437.89
5. Step 5: Solve for x
   x = 721,437.89/345.75
6. Step 6: Final answer
   x = 2,086.59