Finding the Third Proportional to 10,400 and 19,841

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 19,841 = 19,841 : x
2. Step 2: Convert to fraction form
   10,400/19,841 = 19,841/x
3. Step 3: Cross multiply
   10,400x = 19,841 × 19,841
4. Step 4: Simplify right side
   10,400x = 393,665,281
5. Step 5: Solve for x
   x = 393,665,281/10,400
6. Step 6: Final answer
   x = 37,852.43