Finding the Third Proportional to 12,077.50 and 24,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,077.50 : 24,496.50 = 24,496.50 : x
2. Step 2: Convert to fraction form
   12,077.50/24,496.50 = 24,496.50/x
3. Step 3: Cross multiply
   12,077.50x = 24,496.50 × 24,496.50
4. Step 4: Simplify right side
   12,077.50x = 600,078,512.25
5. Step 5: Solve for x
   x = 600,078,512.25/12,077.50
6. Step 6: Final answer
   x = 49,685.66