Finding the Third Proportional to 13,640 and 21,900

Step by Step Solution

1. Step 1: Write the proportion equation
   13,640 : 21,900 = 21,900 : x
2. Step 2: Convert to fraction form
   13,640/21,900 = 21,900/x
3. Step 3: Cross multiply
   13,640x = 21,900 × 21,900
4. Step 4: Simplify right side
   13,640x = 479,610,000
5. Step 5: Solve for x
   x = 479,610,000/13,640
6. Step 6: Final answer
   x = 35,162.02