Finding the Third Proportional to 17,856 and 33,408

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 33,408 = 33,408 : x
2. Step 2: Convert to fraction form
   17,856/33,408 = 33,408/x
3. Step 3: Cross multiply
   17,856x = 33,408 × 33,408
4. Step 4: Simplify right side
   17,856x = 1,116,094,464
5. Step 5: Solve for x
   x = 1,116,094,464/17,856
6. Step 6: Final answer
   x = 62,505.29