Finding the Third Proportional to 25,906.50 and 40,698.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,906.50 : 40,698.75 = 40,698.75 : x
2. Step 2: Convert to fraction form
   25,906.50/40,698.75 = 40,698.75/x
3. Step 3: Cross multiply
   25,906.50x = 40,698.75 × 40,698.75
4. Step 4: Simplify right side
   25,906.50x = 1,656,388,251.56
5. Step 5: Solve for x
   x = 1,656,388,251.56/25,906.50
6. Step 6: Final answer
   x = 63,937.17