Finding the Third Proportional to 48,452 and 65,766

Step by Step Solution

1. Step 1: Write the proportion equation
   48,452 : 65,766 = 65,766 : x
2. Step 2: Convert to fraction form
   48,452/65,766 = 65,766/x
3. Step 3: Cross multiply
   48,452x = 65,766 × 65,766
4. Step 4: Simplify right side
   48,452x = 4,325,166,756
5. Step 5: Solve for x
   x = 4,325,166,756/48,452
6. Step 6: Final answer
   x = 89,267.04