Finding the Third Proportional to 33,644 and 71,386

Step by Step Solution

1. Step 1: Write the proportion equation
   33,644 : 71,386 = 71,386 : x
2. Step 2: Convert to fraction form
   33,644/71,386 = 71,386/x
3. Step 3: Cross multiply
   33,644x = 71,386 × 71,386
4. Step 4: Simplify right side
   33,644x = 5,095,960,996
5. Step 5: Solve for x
   x = 5,095,960,996/33,644
6. Step 6: Final answer
   x = 151,467.16