Finding the Third Proportional to 33,890 and 71,748

Step by Step Solution

1. Step 1: Write the proportion equation
   33,890 : 71,748 = 71,748 : x
2. Step 2: Convert to fraction form
   33,890/71,748 = 71,748/x
3. Step 3: Cross multiply
   33,890x = 71,748 × 71,748
4. Step 4: Simplify right side
   33,890x = 5,147,775,504
5. Step 5: Solve for x
   x = 5,147,775,504/33,890
6. Step 6: Final answer
   x = 151,896.59