Finding the Third Proportional to 9,436 and 19,645

Step by Step Solution

1. Step 1: Write the proportion equation
   9,436 : 19,645 = 19,645 : x
2. Step 2: Convert to fraction form
   9,436/19,645 = 19,645/x
3. Step 3: Cross multiply
   9,436x = 19,645 × 19,645
4. Step 4: Simplify right side
   9,436x = 385,926,025
5. Step 5: Solve for x
   x = 385,926,025/9,436
6. Step 6: Final answer
   x = 40,899.32