Finding the Third Proportional to 33,006 and 71,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,006 : 71,614.50 = 71,614.50 : x
2. Step 2: Convert to fraction form
   33,006/71,614.50 = 71,614.50/x
3. Step 3: Cross multiply
   33,006x = 71,614.50 × 71,614.50
4. Step 4: Simplify right side
   33,006x = 5,128,636,610.25
5. Step 5: Solve for x
   x = 5,128,636,610.25/33,006
6. Step 6: Final answer
   x = 155,384.98