Finding the Third Proportional to 33,705.50 and 74,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,705.50 : 74,035.50 = 74,035.50 : x
2. Step 2: Convert to fraction form
   33,705.50/74,035.50 = 74,035.50/x
3. Step 3: Cross multiply
   33,705.50x = 74,035.50 × 74,035.50
4. Step 4: Simplify right side
   33,705.50x = 5,481,255,260.25
5. Step 5: Solve for x
   x = 5,481,255,260.25/33,705.50
6. Step 6: Final answer
   x = 162,621.98