Finding the Third Proportional to 10,022 and 23,206

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 23,206 = 23,206 : x
2. Step 2: Convert to fraction form
   10,022/23,206 = 23,206/x
3. Step 3: Cross multiply
   10,022x = 23,206 × 23,206
4. Step 4: Simplify right side
   10,022x = 538,518,436
5. Step 5: Solve for x
   x = 538,518,436/10,022
6. Step 6: Final answer
   x = 53,733.63