Finding the Third Proportional to 24,780 and 39,899.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,780 : 39,899.25 = 39,899.25 : x
2. Step 2: Convert to fraction form
   24,780/39,899.25 = 39,899.25/x
3. Step 3: Cross multiply
   24,780x = 39,899.25 × 39,899.25
4. Step 4: Simplify right side
   24,780x = 1,591,950,150.56
5. Step 5: Solve for x
   x = 1,591,950,150.56/24,780
6. Step 6: Final answer
   x = 64,243.35