Finding the Third Proportional to 33,641 and 71,382

Step by Step Solution

1. Step 1: Write the proportion equation
   33,641 : 71,382 = 71,382 : x
2. Step 2: Convert to fraction form
   33,641/71,382 = 71,382/x
3. Step 3: Cross multiply
   33,641x = 71,382 × 71,382
4. Step 4: Simplify right side
   33,641x = 5,095,389,924
5. Step 5: Solve for x
   x = 5,095,389,924/33,641
6. Step 6: Final answer
   x = 151,463.69