Finding the Third Proportional to 442.86 and 969.64

Step by Step Solution

1. Step 1: Write the proportion equation
   442.86 : 969.64 = 969.64 : x
2. Step 2: Convert to fraction form
   442.86/969.64 = 969.64/x
3. Step 3: Cross multiply
   442.86x = 969.64 × 969.64
4. Step 4: Simplify right side
   442.86x = 940,210.52
5. Step 5: Solve for x
   x = 940,210.52/442.86
6. Step 6: Final answer
   x = 2,123.03