Finding the Third Proportional to 442.69 and 969.54

Step by Step Solution

1. Step 1: Write the proportion equation
   442.69 : 969.54 = 969.54 : x
2. Step 2: Convert to fraction form
   442.69/969.54 = 969.54/x
3. Step 3: Cross multiply
   442.69x = 969.54 × 969.54
4. Step 4: Simplify right side
   442.69x = 940,005.99
5. Step 5: Solve for x
   x = 940,005.99/442.69
6. Step 6: Final answer
   x = 2,123.41