Finding the Third Proportional to 33,507 and 72,792

Step by Step Solution

1. Step 1: Write the proportion equation
   33,507 : 72,792 = 72,792 : x
2. Step 2: Convert to fraction form
   33,507/72,792 = 72,792/x
3. Step 3: Cross multiply
   33,507x = 72,792 × 72,792
4. Step 4: Simplify right side
   33,507x = 5,298,675,264
5. Step 5: Solve for x
   x = 5,298,675,264/33,507
6. Step 6: Final answer
   x = 158,136.37