Finding the Third Proportional to 766.65 and 1,156.15

Step by Step Solution

1. Step 1: Write the proportion equation
   766.65 : 1,156.15 = 1,156.15 : x
2. Step 2: Convert to fraction form
   766.65/1,156.15 = 1,156.15/x
3. Step 3: Cross multiply
   766.65x = 1,156.15 × 1,156.15
4. Step 4: Simplify right side
   766.65x = 1,336,679.21
5. Step 5: Solve for x
   x = 1,336,679.21/766.65
6. Step 6: Final answer
   x = 1,743.53