Finding the Third Proportional to 33,596 and 72,376

Step by Step Solution

1. Step 1: Write the proportion equation
   33,596 : 72,376 = 72,376 : x
2. Step 2: Convert to fraction form
   33,596/72,376 = 72,376/x
3. Step 3: Cross multiply
   33,596x = 72,376 × 72,376
4. Step 4: Simplify right side
   33,596x = 5,238,285,376
5. Step 5: Solve for x
   x = 5,238,285,376/33,596
6. Step 6: Final answer
   x = 155,919.91