Finding the Third Proportional to 32,940 and 72,441

Step by Step Solution

1. Step 1: Write the proportion equation
   32,940 : 72,441 = 72,441 : x
2. Step 2: Convert to fraction form
   32,940/72,441 = 72,441/x
3. Step 3: Cross multiply
   32,940x = 72,441 × 72,441
4. Step 4: Simplify right side
   32,940x = 5,247,698,481
5. Step 5: Solve for x
   x = 5,247,698,481/32,940
6. Step 6: Final answer
   x = 159,310.82