Finding the Third Proportional to 23,077 and 49,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,077 : 49,690.50 = 49,690.50 : x
2. Step 2: Convert to fraction form
   23,077/49,690.50 = 49,690.50/x
3. Step 3: Cross multiply
   23,077x = 49,690.50 × 49,690.50
4. Step 4: Simplify right side
   23,077x = 2,469,145,790.25
5. Step 5: Solve for x
   x = 2,469,145,790.25/23,077
6. Step 6: Final answer
   x = 106,995.96