Finding the Third Proportional to 17,538 and 38,352

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538 : 38,352 = 38,352 : x
2. Step 2: Convert to fraction form
   17,538/38,352 = 38,352/x
3. Step 3: Cross multiply
   17,538x = 38,352 × 38,352
4. Step 4: Simplify right side
   17,538x = 1,470,875,904
5. Step 5: Solve for x
   x = 1,470,875,904/17,538
6. Step 6: Final answer
   x = 83,867.94