Finding the Third Proportional to 9,384 and 17,850

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384 : 17,850 = 17,850 : x
2. Step 2: Convert to fraction form
   9,384/17,850 = 17,850/x
3. Step 3: Cross multiply
   9,384x = 17,850 × 17,850
4. Step 4: Simplify right side
   9,384x = 318,622,500
5. Step 5: Solve for x
   x = 318,622,500/9,384
6. Step 6: Final answer
   x = 33,953.80