Finding the Third Proportional to 681.56 and 972.56

Step by Step Solution

1. Step 1: Write the proportion equation
   681.56 : 972.56 = 972.56 : x
2. Step 2: Convert to fraction form
   681.56/972.56 = 972.56/x
3. Step 3: Cross multiply
   681.56x = 972.56 × 972.56
4. Step 4: Simplify right side
   681.56x = 945,877.82
5. Step 5: Solve for x
   x = 945,877.82/681.56
6. Step 6: Final answer
   x = 1,387.81