Finding the Third Proportional to 33,086.50 and 72,005

Step by Step Solution

1. Step 1: Write the proportion equation
   33,086.50 : 72,005 = 72,005 : x
2. Step 2: Convert to fraction form
   33,086.50/72,005 = 72,005/x
3. Step 3: Cross multiply
   33,086.50x = 72,005 × 72,005
4. Step 4: Simplify right side
   33,086.50x = 5,184,720,025
5. Step 5: Solve for x
   x = 5,184,720,025/33,086.50
6. Step 6: Final answer
   x = 156,701.98