Finding the Third Proportional to 766.55 and 1,215.42

Step by Step Solution

1. Step 1: Write the proportion equation
   766.55 : 1,215.42 = 1,215.42 : x
2. Step 2: Convert to fraction form
   766.55/1,215.42 = 1,215.42/x
3. Step 3: Cross multiply
   766.55x = 1,215.42 × 1,215.42
4. Step 4: Simplify right side
   766.55x = 1,477,250.33
5. Step 5: Solve for x
   x = 1,477,250.33/766.55
6. Step 6: Final answer
   x = 1,927.15