Finding the Third Proportional to 8,410 and 17,924

Step by Step Solution

1. Step 1: Write the proportion equation
   8,410 : 17,924 = 17,924 : x
2. Step 2: Convert to fraction form
   8,410/17,924 = 17,924/x
3. Step 3: Cross multiply
   8,410x = 17,924 × 17,924
4. Step 4: Simplify right side
   8,410x = 321,269,776
5. Step 5: Solve for x
   x = 321,269,776/8,410
6. Step 6: Final answer
   x = 38,200.92