Finding the Third Proportional to 33,537 and 72,219

Step by Step Solution

1. Step 1: Write the proportion equation
   33,537 : 72,219 = 72,219 : x
2. Step 2: Convert to fraction form
   33,537/72,219 = 72,219/x
3. Step 3: Cross multiply
   33,537x = 72,219 × 72,219
4. Step 4: Simplify right side
   33,537x = 5,215,583,961
5. Step 5: Solve for x
   x = 5,215,583,961/33,537
6. Step 6: Final answer
   x = 155,517.31