Finding the Third Proportional to 17,718 and 38,208

Step by Step Solution

1. Step 1: Write the proportion equation
   17,718 : 38,208 = 38,208 : x
2. Step 2: Convert to fraction form
   17,718/38,208 = 38,208/x
3. Step 3: Cross multiply
   17,718x = 38,208 × 38,208
4. Step 4: Simplify right side
   17,718x = 1,459,851,264
5. Step 5: Solve for x
   x = 1,459,851,264/17,718
6. Step 6: Final answer
   x = 82,393.68