Finding the Third Proportional to 10,410 and 18,684

Step by Step Solution

1. Step 1: Write the proportion equation
   10,410 : 18,684 = 18,684 : x
2. Step 2: Convert to fraction form
   10,410/18,684 = 18,684/x
3. Step 3: Cross multiply
   10,410x = 18,684 × 18,684
4. Step 4: Simplify right side
   10,410x = 349,091,856
5. Step 5: Solve for x
   x = 349,091,856/10,410
6. Step 6: Final answer
   x = 33,534.28