Finding the Third Proportional to 33,553.50 and 73,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,553.50 : 73,102.50 = 73,102.50 : x
2. Step 2: Convert to fraction form
   33,553.50/73,102.50 = 73,102.50/x
3. Step 3: Cross multiply
   33,553.50x = 73,102.50 × 73,102.50
4. Step 4: Simplify right side
   33,553.50x = 5,343,975,506.25
5. Step 5: Solve for x
   x = 5,343,975,506.25/33,553.50
6. Step 6: Final answer
   x = 159,267.30