Finding the Third Proportional to 42,824 and 67,272

Step by Step Solution

1. Step 1: Write the proportion equation
   42,824 : 67,272 = 67,272 : x
2. Step 2: Convert to fraction form
   42,824/67,272 = 67,272/x
3. Step 3: Cross multiply
   42,824x = 67,272 × 67,272
4. Step 4: Simplify right side
   42,824x = 4,525,521,984
5. Step 5: Solve for x
   x = 4,525,521,984/42,824
6. Step 6: Final answer
   x = 105,677.24