Finding the Third Proportional to 49,854 and 67,164

Step by Step Solution

1. Step 1: Write the proportion equation
   49,854 : 67,164 = 67,164 : x
2. Step 2: Convert to fraction form
   49,854/67,164 = 67,164/x
3. Step 3: Cross multiply
   49,854x = 67,164 × 67,164
4. Step 4: Simplify right side
   49,854x = 4,511,002,896
5. Step 5: Solve for x
   x = 4,511,002,896/49,854
6. Step 6: Final answer
   x = 90,484.27