Finding the Third Proportional to 49,764 and 76,092

Step by Step Solution

1. Step 1: Write the proportion equation
   49,764 : 76,092 = 76,092 : x
2. Step 2: Convert to fraction form
   49,764/76,092 = 76,092/x
3. Step 3: Cross multiply
   49,764x = 76,092 × 76,092
4. Step 4: Simplify right side
   49,764x = 5,789,992,464
5. Step 5: Solve for x
   x = 5,789,992,464/49,764
6. Step 6: Final answer
   x = 116,349.02