Finding the Third Proportional to 33,637.50 and 71,019

Step by Step Solution

1. Step 1: Write the proportion equation
   33,637.50 : 71,019 = 71,019 : x
2. Step 2: Convert to fraction form
   33,637.50/71,019 = 71,019/x
3. Step 3: Cross multiply
   33,637.50x = 71,019 × 71,019
4. Step 4: Simplify right side
   33,637.50x = 5,043,698,361
5. Step 5: Solve for x
   x = 5,043,698,361/33,637.50
6. Step 6: Final answer
   x = 149,942.72