Finding the Third Proportional to 9,429 and 19,825

Step by Step Solution

1. Step 1: Write the proportion equation
   9,429 : 19,825 = 19,825 : x
2. Step 2: Convert to fraction form
   9,429/19,825 = 19,825/x
3. Step 3: Cross multiply
   9,429x = 19,825 × 19,825
4. Step 4: Simplify right side
   9,429x = 393,030,625
5. Step 5: Solve for x
   x = 393,030,625/9,429
6. Step 6: Final answer
   x = 41,683.17