Finding the Third Proportional to 41,892.75 and 65,162.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,892.75 : 65,162.25 = 65,162.25 : x
2. Step 2: Convert to fraction form
   41,892.75/65,162.25 = 65,162.25/x
3. Step 3: Cross multiply
   41,892.75x = 65,162.25 × 65,162.25
4. Step 4: Simplify right side
   41,892.75x = 4,246,118,825.06
5. Step 5: Solve for x
   x = 4,246,118,825.06/41,892.75
6. Step 6: Final answer
   x = 101,356.89