Finding the Third Proportional to 901.69 and 972.56

Step by Step Solution

1. Step 1: Write the proportion equation
   901.69 : 972.56 = 972.56 : x
2. Step 2: Convert to fraction form
   901.69/972.56 = 972.56/x
3. Step 3: Cross multiply
   901.69x = 972.56 × 972.56
4. Step 4: Simplify right side
   901.69x = 945,877.82
5. Step 5: Solve for x
   x = 945,877.82/901.69
6. Step 6: Final answer
   x = 1,049.01