Finding the Third Proportional to 13,810 and 21,966

Step by Step Solution

1. Step 1: Write the proportion equation
   13,810 : 21,966 = 21,966 : x
2. Step 2: Convert to fraction form
   13,810/21,966 = 21,966/x
3. Step 3: Cross multiply
   13,810x = 21,966 × 21,966
4. Step 4: Simplify right side
   13,810x = 482,505,156
5. Step 5: Solve for x
   x = 482,505,156/13,810
6. Step 6: Final answer
   x = 34,938.82