Finding the Third Proportional to 13,870 and 18,213

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870 : 18,213 = 18,213 : x
2. Step 2: Convert to fraction form
   13,870/18,213 = 18,213/x
3. Step 3: Cross multiply
   13,870x = 18,213 × 18,213
4. Step 4: Simplify right side
   13,870x = 331,713,369
5. Step 5: Solve for x
   x = 331,713,369/13,870
6. Step 6: Final answer
   x = 23,915.89