Finding the Third Proportional to 760.50 and 1,166

Step by Step Solution

1. Step 1: Write the proportion equation
   760.50 : 1,166 = 1,166 : x
2. Step 2: Convert to fraction form
   760.50/1,166 = 1,166/x
3. Step 3: Cross multiply
   760.50x = 1,166 × 1,166
4. Step 4: Simplify right side
   760.50x = 1,359,556
5. Step 5: Solve for x
   x = 1,359,556/760.50
6. Step 6: Final answer
   x = 1,787.71