Finding the Third Proportional to 41,720 and 86,892

Step by Step Solution

1. Step 1: Write the proportion equation
   41,720 : 86,892 = 86,892 : x
2. Step 2: Convert to fraction form
   41,720/86,892 = 86,892/x
3. Step 3: Cross multiply
   41,720x = 86,892 × 86,892
4. Step 4: Simplify right side
   41,720x = 7,550,219,664
5. Step 5: Solve for x
   x = 7,550,219,664/41,720
6. Step 6: Final answer
   x = 180,973.63