Finding the Third Proportional to 32,941 and 72,442

Step by Step Solution

1. Step 1: Write the proportion equation
   32,941 : 72,442 = 72,442 : x
2. Step 2: Convert to fraction form
   32,941/72,442 = 72,442/x
3. Step 3: Cross multiply
   32,941x = 72,442 × 72,442
4. Step 4: Simplify right side
   32,941x = 5,247,843,364
5. Step 5: Solve for x
   x = 5,247,843,364/32,941
6. Step 6: Final answer
   x = 159,310.38