Finding the Third Proportional to 32,910 and 72,005

Step by Step Solution

1. Step 1: Write the proportion equation
   32,910 : 72,005 = 72,005 : x
2. Step 2: Convert to fraction form
   32,910/72,005 = 72,005/x
3. Step 3: Cross multiply
   32,910x = 72,005 × 72,005
4. Step 4: Simplify right side
   32,910x = 5,184,720,025
5. Step 5: Solve for x
   x = 5,184,720,025/32,910
6. Step 6: Final answer
   x = 157,542.39