Finding the Third Proportional to 25,855.50 and 41,165.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,855.50 : 41,165.75 = 41,165.75 : x
2. Step 2: Convert to fraction form
   25,855.50/41,165.75 = 41,165.75/x
3. Step 3: Cross multiply
   25,855.50x = 41,165.75 × 41,165.75
4. Step 4: Simplify right side
   25,855.50x = 1,694,618,973.06
5. Step 5: Solve for x
   x = 1,694,618,973.06/25,855.50
6. Step 6: Final answer
   x = 65,541.91