Finding the Third Proportional to 940.78 and 1,287.56

Step by Step Solution

1. Step 1: Write the proportion equation
   940.78 : 1,287.56 = 1,287.56 : x
2. Step 2: Convert to fraction form
   940.78/1,287.56 = 1,287.56/x
3. Step 3: Cross multiply
   940.78x = 1,287.56 × 1,287.56
4. Step 4: Simplify right side
   940.78x = 1,657,817.19
5. Step 5: Solve for x
   x = 1,657,817.19/940.78
6. Step 6: Final answer
   x = 1,762.17