Finding the Third Proportional to 16,182 and 18,414

Step by Step Solution

1. Step 1: Write the proportion equation
   16,182 : 18,414 = 18,414 : x
2. Step 2: Convert to fraction form
   16,182/18,414 = 18,414/x
3. Step 3: Cross multiply
   16,182x = 18,414 × 18,414
4. Step 4: Simplify right side
   16,182x = 339,075,396
5. Step 5: Solve for x
   x = 339,075,396/16,182
6. Step 6: Final answer
   x = 20,953.86