Finding the Third Proportional to 33,745.50 and 71,643

Step by Step Solution

1. Step 1: Write the proportion equation
   33,745.50 : 71,643 = 71,643 : x
2. Step 2: Convert to fraction form
   33,745.50/71,643 = 71,643/x
3. Step 3: Cross multiply
   33,745.50x = 71,643 × 71,643
4. Step 4: Simplify right side
   33,745.50x = 5,132,719,449
5. Step 5: Solve for x
   x = 5,132,719,449/33,745.50
6. Step 6: Final answer
   x = 152,100.86