Finding the Third Proportional to 33,399 and 72,627

Step by Step Solution

1. Step 1: Write the proportion equation
   33,399 : 72,627 = 72,627 : x
2. Step 2: Convert to fraction form
   33,399/72,627 = 72,627/x
3. Step 3: Cross multiply
   33,399x = 72,627 × 72,627
4. Step 4: Simplify right side
   33,399x = 5,274,681,129
5. Step 5: Solve for x
   x = 5,274,681,129/33,399
6. Step 6: Final answer
   x = 157,929.31