Finding the Third Proportional to 10,397 and 19,838

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397 : 19,838 = 19,838 : x
2. Step 2: Convert to fraction form
   10,397/19,838 = 19,838/x
3. Step 3: Cross multiply
   10,397x = 19,838 × 19,838
4. Step 4: Simplify right side
   10,397x = 393,546,244
5. Step 5: Solve for x
   x = 393,546,244/10,397
6. Step 6: Final answer
   x = 37,851.90