Finding the Third Proportional to 33,489 and 70,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,489 : 70,423.50 = 70,423.50 : x
2. Step 2: Convert to fraction form
   33,489/70,423.50 = 70,423.50/x
3. Step 3: Cross multiply
   33,489x = 70,423.50 × 70,423.50
4. Step 4: Simplify right side
   33,489x = 4,959,469,352.25
5. Step 5: Solve for x
   x = 4,959,469,352.25/33,489
6. Step 6: Final answer
   x = 148,092.49