Finding the Third Proportional to 25,906.25 and 41,195.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,906.25 : 41,195.50 = 41,195.50 : x
2. Step 2: Convert to fraction form
   25,906.25/41,195.50 = 41,195.50/x
3. Step 3: Cross multiply
   25,906.25x = 41,195.50 × 41,195.50
4. Step 4: Simplify right side
   25,906.25x = 1,697,069,220.25
5. Step 5: Solve for x
   x = 1,697,069,220.25/25,906.25
6. Step 6: Final answer
   x = 65,508.10