Finding the Third Proportional to 33,627 and 72,438

Step by Step Solution

1. Step 1: Write the proportion equation
   33,627 : 72,438 = 72,438 : x
2. Step 2: Convert to fraction form
   33,627/72,438 = 72,438/x
3. Step 3: Cross multiply
   33,627x = 72,438 × 72,438
4. Step 4: Simplify right side
   33,627x = 5,247,263,844
5. Step 5: Solve for x
   x = 5,247,263,844/33,627
6. Step 6: Final answer
   x = 156,043.17