Finding the Third Proportional to 49,638 and 76,773

Step by Step Solution

1. Step 1: Write the proportion equation
   49,638 : 76,773 = 76,773 : x
2. Step 2: Convert to fraction form
   49,638/76,773 = 76,773/x
3. Step 3: Cross multiply
   49,638x = 76,773 × 76,773
4. Step 4: Simplify right side
   49,638x = 5,894,093,529
5. Step 5: Solve for x
   x = 5,894,093,529/49,638
6. Step 6: Final answer
   x = 118,741.56