Finding the Third Proportional to 10,406 and 19,336

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406 : 19,336 = 19,336 : x
2. Step 2: Convert to fraction form
   10,406/19,336 = 19,336/x
3. Step 3: Cross multiply
   10,406x = 19,336 × 19,336
4. Step 4: Simplify right side
   10,406x = 373,880,896
5. Step 5: Solve for x
   x = 373,880,896/10,406
6. Step 6: Final answer
   x = 35,929.36