Finding the Third Proportional to 401.06 and 972.56

Step by Step Solution

1. Step 1: Write the proportion equation
   401.06 : 972.56 = 972.56 : x
2. Step 2: Convert to fraction form
   401.06/972.56 = 972.56/x
3. Step 3: Cross multiply
   401.06x = 972.56 × 972.56
4. Step 4: Simplify right side
   401.06x = 945,877.82
5. Step 5: Solve for x
   x = 945,877.82/401.06
6. Step 6: Final answer
   x = 2,358.43