Finding the Third Proportional to 10,116 and 19,720

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 19,720 = 19,720 : x
2. Step 2: Convert to fraction form
   10,116/19,720 = 19,720/x
3. Step 3: Cross multiply
   10,116x = 19,720 × 19,720
4. Step 4: Simplify right side
   10,116x = 388,878,400
5. Step 5: Solve for x
   x = 388,878,400/10,116
6. Step 6: Final answer
   x = 38,441.91