Finding the Third Proportional to 10,396 and 19,834.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396 : 19,834.25 = 19,834.25 : x
2. Step 2: Convert to fraction form
   10,396/19,834.25 = 19,834.25/x
3. Step 3: Cross multiply
   10,396x = 19,834.25 × 19,834.25
4. Step 4: Simplify right side
   10,396x = 393,397,473.06
5. Step 5: Solve for x
   x = 393,397,473.06/10,396
6. Step 6: Final answer
   x = 37,841.23