Finding the Third Proportional to 760.88 and 1,764.38

Step by Step Solution

1. Step 1: Write the proportion equation
   760.88 : 1,764.38 = 1,764.38 : x
2. Step 2: Convert to fraction form
   760.88/1,764.38 = 1,764.38/x
3. Step 3: Cross multiply
   760.88x = 1,764.38 × 1,764.38
4. Step 4: Simplify right side
   760.88x = 3,113,019.14
5. Step 5: Solve for x
   x = 3,113,019.14/760.88
6. Step 6: Final answer
   x = 4,091.37