Finding the Third Proportional to 33,824 and 72,688

Step by Step Solution

1. Step 1: Write the proportion equation
   33,824 : 72,688 = 72,688 : x
2. Step 2: Convert to fraction form
   33,824/72,688 = 72,688/x
3. Step 3: Cross multiply
   33,824x = 72,688 × 72,688
4. Step 4: Simplify right side
   33,824x = 5,283,545,344
5. Step 5: Solve for x
   x = 5,283,545,344/33,824
6. Step 6: Final answer
   x = 156,206.99