Finding the Third Proportional to 53,832 and 80,766

Step by Step Solution

1. Step 1: Write the proportion equation
   53,832 : 80,766 = 80,766 : x
2. Step 2: Convert to fraction form
   53,832/80,766 = 80,766/x
3. Step 3: Cross multiply
   53,832x = 80,766 × 80,766
4. Step 4: Simplify right side
   53,832x = 6,523,146,756
5. Step 5: Solve for x
   x = 6,523,146,756/53,832
6. Step 6: Final answer
   x = 121,176.01