Finding the Third Proportional to 442.57 and 969.15

Step by Step Solution

1. Step 1: Write the proportion equation
   442.57 : 969.15 = 969.15 : x
2. Step 2: Convert to fraction form
   442.57/969.15 = 969.15/x
3. Step 3: Cross multiply
   442.57x = 969.15 × 969.15
4. Step 4: Simplify right side
   442.57x = 939,256.27
5. Step 5: Solve for x
   x = 939,256.27/442.57
6. Step 6: Final answer
   x = 2,122.26