Finding the Third Proportional to 760.38 and 1,191.25

Step by Step Solution

1. Step 1: Write the proportion equation
   760.38 : 1,191.25 = 1,191.25 : x
2. Step 2: Convert to fraction form
   760.38/1,191.25 = 1,191.25/x
3. Step 3: Cross multiply
   760.38x = 1,191.25 × 1,191.25
4. Step 4: Simplify right side
   760.38x = 1,419,076.56
5. Step 5: Solve for x
   x = 1,419,076.56/760.38
6. Step 6: Final answer
   x = 1,866.29