Finding the Third Proportional to 33,817.50 and 73,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,817.50 : 73,892.25 = 73,892.25 : x
2. Step 2: Convert to fraction form
   33,817.50/73,892.25 = 73,892.25/x
3. Step 3: Cross multiply
   33,817.50x = 73,892.25 × 73,892.25
4. Step 4: Simplify right side
   33,817.50x = 5,460,064,610.06
5. Step 5: Solve for x
   x = 5,460,064,610.06/33,817.50
6. Step 6: Final answer
   x = 161,456.78