Finding the Third Proportional to 442.10 and 941.86

Step by Step Solution

1. Step 1: Write the proportion equation
   442.10 : 941.86 = 941.86 : x
2. Step 2: Convert to fraction form
   442.10/941.86 = 941.86/x
3. Step 3: Cross multiply
   442.10x = 941.86 × 941.86
4. Step 4: Simplify right side
   442.10x = 887,104.60
5. Step 5: Solve for x
   x = 887,104.60/442.10
6. Step 6: Final answer
   x = 2,006.58