Finding the Third Proportional to 33,824 and 72,342

Step by Step Solution

1. Step 1: Write the proportion equation
   33,824 : 72,342 = 72,342 : x
2. Step 2: Convert to fraction form
   33,824/72,342 = 72,342/x
3. Step 3: Cross multiply
   33,824x = 72,342 × 72,342
4. Step 4: Simplify right side
   33,824x = 5,233,364,964
5. Step 5: Solve for x
   x = 5,233,364,964/33,824
6. Step 6: Final answer
   x = 154,723.42