Finding the Third Proportional to 768.23 and 1,834.52

Step by Step Solution

1. Step 1: Write the proportion equation
   768.23 : 1,834.52 = 1,834.52 : x
2. Step 2: Convert to fraction form
   768.23/1,834.52 = 1,834.52/x
3. Step 3: Cross multiply
   768.23x = 1,834.52 × 1,834.52
4. Step 4: Simplify right side
   768.23x = 3,365,476.24
5. Step 5: Solve for x
   x = 3,365,476.24/768.23
6. Step 6: Final answer
   x = 4,380.79