Finding the Third Proportional to 677.06 and 972.56

Step by Step Solution

1. Step 1: Write the proportion equation
   677.06 : 972.56 = 972.56 : x
2. Step 2: Convert to fraction form
   677.06/972.56 = 972.56/x
3. Step 3: Cross multiply
   677.06x = 972.56 × 972.56
4. Step 4: Simplify right side
   677.06x = 945,877.82
5. Step 5: Solve for x
   x = 945,877.82/677.06
6. Step 6: Final answer
   x = 1,397.03