Finding the Third Proportional to 25,906.75 and 40,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,906.75 : 40,005.25 = 40,005.25 : x
2. Step 2: Convert to fraction form
   25,906.75/40,005.25 = 40,005.25/x
3. Step 3: Cross multiply
   25,906.75x = 40,005.25 × 40,005.25
4. Step 4: Simplify right side
   25,906.75x = 1,600,420,027.56
5. Step 5: Solve for x
   x = 1,600,420,027.56/25,906.75
6. Step 6: Final answer
   x = 61,776.18