Finding the Third Proportional to 17,824 and 38,116

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824 : 38,116 = 38,116 : x
2. Step 2: Convert to fraction form
   17,824/38,116 = 38,116/x
3. Step 3: Cross multiply
   17,824x = 38,116 × 38,116
4. Step 4: Simplify right side
   17,824x = 1,452,829,456
5. Step 5: Solve for x
   x = 1,452,829,456/17,824
6. Step 6: Final answer
   x = 81,509.73