Finding the Third Proportional to 33,629 and 72,442

Step by Step Solution

1. Step 1: Write the proportion equation
   33,629 : 72,442 = 72,442 : x
2. Step 2: Convert to fraction form
   33,629/72,442 = 72,442/x
3. Step 3: Cross multiply
   33,629x = 72,442 × 72,442
4. Step 4: Simplify right side
   33,629x = 5,247,843,364
5. Step 5: Solve for x
   x = 5,247,843,364/33,629
6. Step 6: Final answer
   x = 156,051.13