Finding the Third Proportional to 49,764 and 77,050

Step by Step Solution

1. Step 1: Write the proportion equation
   49,764 : 77,050 = 77,050 : x
2. Step 2: Convert to fraction form
   49,764/77,050 = 77,050/x
3. Step 3: Cross multiply
   49,764x = 77,050 × 77,050
4. Step 4: Simplify right side
   49,764x = 5,936,702,500
5. Step 5: Solve for x
   x = 5,936,702,500/49,764
6. Step 6: Final answer
   x = 119,297.13