Finding the Third Proportional to 760.78 and 1,017.42

Step by Step Solution

1. Step 1: Write the proportion equation
   760.78 : 1,017.42 = 1,017.42 : x
2. Step 2: Convert to fraction form
   760.78/1,017.42 = 1,017.42/x
3. Step 3: Cross multiply
   760.78x = 1,017.42 × 1,017.42
4. Step 4: Simplify right side
   760.78x = 1,035,147.27
5. Step 5: Solve for x
   x = 1,035,147.27/760.78
6. Step 6: Final answer
   x = 1,360.64