Finding the Third Proportional to 33,566 and 71,380

Step by Step Solution

1. Step 1: Write the proportion equation
   33,566 : 71,380 = 71,380 : x
2. Step 2: Convert to fraction form
   33,566/71,380 = 71,380/x
3. Step 3: Cross multiply
   33,566x = 71,380 × 71,380
4. Step 4: Simplify right side
   33,566x = 5,095,104,400
5. Step 5: Solve for x
   x = 5,095,104,400/33,566
6. Step 6: Final answer
   x = 151,793.61