Finding the Third Proportional to 33,553.50 and 71,097

Step by Step Solution

1. Step 1: Write the proportion equation
   33,553.50 : 71,097 = 71,097 : x
2. Step 2: Convert to fraction form
   33,553.50/71,097 = 71,097/x
3. Step 3: Cross multiply
   33,553.50x = 71,097 × 71,097
4. Step 4: Simplify right side
   33,553.50x = 5,054,783,409
5. Step 5: Solve for x
   x = 5,054,783,409/33,553.50
6. Step 6: Final answer
   x = 150,648.47