Finding the Third Proportional to 33,561 and 69,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,561 : 69,880.50 = 69,880.50 : x
2. Step 2: Convert to fraction form
   33,561/69,880.50 = 69,880.50/x
3. Step 3: Cross multiply
   33,561x = 69,880.50 × 69,880.50
4. Step 4: Simplify right side
   33,561x = 4,883,284,280.25
5. Step 5: Solve for x
   x = 4,883,284,280.25/33,561
6. Step 6: Final answer
   x = 145,504.73