Finding the Third Proportional to 49,111.50 and 76,827

Step by Step Solution

1. Step 1: Write the proportion equation
   49,111.50 : 76,827 = 76,827 : x
2. Step 2: Convert to fraction form
   49,111.50/76,827 = 76,827/x
3. Step 3: Cross multiply
   49,111.50x = 76,827 × 76,827
4. Step 4: Simplify right side
   49,111.50x = 5,902,387,929
5. Step 5: Solve for x
   x = 5,902,387,929/49,111.50
6. Step 6: Final answer
   x = 120,183.42