Finding the Third Proportional to 25,686 and 40,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,686 : 40,756.50 = 40,756.50 : x
2. Step 2: Convert to fraction form
   25,686/40,756.50 = 40,756.50/x
3. Step 3: Cross multiply
   25,686x = 40,756.50 × 40,756.50
4. Step 4: Simplify right side
   25,686x = 1,661,092,292.25
5. Step 5: Solve for x
   x = 1,661,092,292.25/25,686
6. Step 6: Final answer
   x = 64,669.17