Finding the Third Proportional to 33,561 and 47,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,561 : 47,035.50 = 47,035.50 : x
2. Step 2: Convert to fraction form
   33,561/47,035.50 = 47,035.50/x
3. Step 3: Cross multiply
   33,561x = 47,035.50 × 47,035.50
4. Step 4: Simplify right side
   33,561x = 2,212,338,260.25
5. Step 5: Solve for x
   x = 2,212,338,260.25/33,561
6. Step 6: Final answer
   x = 65,919.91