Finding the Third Proportional to 33,743 and 71,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,743 : 71,638.50 = 71,638.50 : x
2. Step 2: Convert to fraction form
   33,743/71,638.50 = 71,638.50/x
3. Step 3: Cross multiply
   33,743x = 71,638.50 × 71,638.50
4. Step 4: Simplify right side
   33,743x = 5,132,074,682.25
5. Step 5: Solve for x
   x = 5,132,074,682.25/33,743
6. Step 6: Final answer
   x = 152,093.02