Finding the Third Proportional to 10,172 and 21,640

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 21,640 = 21,640 : x
2. Step 2: Convert to fraction form
   10,172/21,640 = 21,640/x
3. Step 3: Cross multiply
   10,172x = 21,640 × 21,640
4. Step 4: Simplify right side
   10,172x = 468,289,600
5. Step 5: Solve for x
   x = 468,289,600/10,172
6. Step 6: Final answer
   x = 46,037.12