Finding the Third Proportional to 10,097 and 21,816

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097 : 21,816 = 21,816 : x
2. Step 2: Convert to fraction form
   10,097/21,816 = 21,816/x
3. Step 3: Cross multiply
   10,097x = 21,816 × 21,816
4. Step 4: Simplify right side
   10,097x = 475,937,856
5. Step 5: Solve for x
   x = 475,937,856/10,097
6. Step 6: Final answer
   x = 47,136.56