Finding the Third Proportional to 33,636 and 72,408

Step by Step Solution

1. Step 1: Write the proportion equation
   33,636 : 72,408 = 72,408 : x
2. Step 2: Convert to fraction form
   33,636/72,408 = 72,408/x
3. Step 3: Cross multiply
   33,636x = 72,408 × 72,408
4. Step 4: Simplify right side
   33,636x = 5,242,918,464
5. Step 5: Solve for x
   x = 5,242,918,464/33,636
6. Step 6: Final answer
   x = 155,872.23