Finding the Third Proportional to 25,767 and 40,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,767 : 40,729.50 = 40,729.50 : x
2. Step 2: Convert to fraction form
   25,767/40,729.50 = 40,729.50/x
3. Step 3: Cross multiply
   25,767x = 40,729.50 × 40,729.50
4. Step 4: Simplify right side
   25,767x = 1,658,892,170.25
5. Step 5: Solve for x
   x = 1,658,892,170.25/25,767
6. Step 6: Final answer
   x = 64,380.49