Finding the Third Proportional to 30,729 and 49,182

Step by Step Solution

1. Step 1: Write the proportion equation
   30,729 : 49,182 = 49,182 : x
2. Step 2: Convert to fraction form
   30,729/49,182 = 49,182/x
3. Step 3: Cross multiply
   30,729x = 49,182 × 49,182
4. Step 4: Simplify right side
   30,729x = 2,418,869,124
5. Step 5: Solve for x
   x = 2,418,869,124/30,729
6. Step 6: Final answer
   x = 78,716.17