Finding the Third Proportional to 50,021 and 77,429

Step by Step Solution

1. Step 1: Write the proportion equation
   50,021 : 77,429 = 77,429 : x
2. Step 2: Convert to fraction form
   50,021/77,429 = 77,429/x
3. Step 3: Cross multiply
   50,021x = 77,429 × 77,429
4. Step 4: Simplify right side
   50,021x = 5,995,250,041
5. Step 5: Solve for x
   x = 5,995,250,041/50,021
6. Step 6: Final answer
   x = 119,854.66