Finding the Third Proportional to 30,825 and 49,005

Step by Step Solution

1. Step 1: Write the proportion equation
   30,825 : 49,005 = 49,005 : x
2. Step 2: Convert to fraction form
   30,825/49,005 = 49,005/x
3. Step 3: Cross multiply
   30,825x = 49,005 × 49,005
4. Step 4: Simplify right side
   30,825x = 2,401,490,025
5. Step 5: Solve for x
   x = 2,401,490,025/30,825
6. Step 6: Final answer
   x = 77,907.22