Finding the Third Proportional to 30,078 and 45,825

Step by Step Solution

1. Step 1: Write the proportion equation
   30,078 : 45,825 = 45,825 : x
2. Step 2: Convert to fraction form
   30,078/45,825 = 45,825/x
3. Step 3: Cross multiply
   30,078x = 45,825 × 45,825
4. Step 4: Simplify right side
   30,078x = 2,099,930,625
5. Step 5: Solve for x
   x = 2,099,930,625/30,078
6. Step 6: Final answer
   x = 69,816.17