Finding the Third Proportional to 49,926 and 76,977

Step by Step Solution

1. Step 1: Write the proportion equation
   49,926 : 76,977 = 76,977 : x
2. Step 2: Convert to fraction form
   49,926/76,977 = 76,977/x
3. Step 3: Cross multiply
   49,926x = 76,977 × 76,977
4. Step 4: Simplify right side
   49,926x = 5,925,458,529
5. Step 5: Solve for x
   x = 5,925,458,529/49,926
6. Step 6: Final answer
   x = 118,684.82