Finding the Third Proportional to 19,464 and 30,825

Step by Step Solution

1. Step 1: Write the proportion equation
   19,464 : 30,825 = 30,825 : x
2. Step 2: Convert to fraction form
   19,464/30,825 = 30,825/x
3. Step 3: Cross multiply
   19,464x = 30,825 × 30,825
4. Step 4: Simplify right side
   19,464x = 950,180,625
5. Step 5: Solve for x
   x = 950,180,625/19,464
6. Step 6: Final answer
   x = 48,817.34