Finding the Third Proportional to 681.56 and 1,056.56

Step by Step Solution

1. Step 1: Write the proportion equation
   681.56 : 1,056.56 = 1,056.56 : x
2. Step 2: Convert to fraction form
   681.56/1,056.56 = 1,056.56/x
3. Step 3: Cross multiply
   681.56x = 1,056.56 × 1,056.56
4. Step 4: Simplify right side
   681.56x = 1,116,324.32
5. Step 5: Solve for x
   x = 1,116,324.32/681.56
6. Step 6: Final answer
   x = 1,637.89