Finding the Third Proportional to 10,022 and 14,297

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 14,297 = 14,297 : x
2. Step 2: Convert to fraction form
   10,022/14,297 = 14,297/x
3. Step 3: Cross multiply
   10,022x = 14,297 × 14,297
4. Step 4: Simplify right side
   10,022x = 204,404,209
5. Step 5: Solve for x
   x = 204,404,209/10,022
6. Step 6: Final answer
   x = 20,395.55