Finding the Third Proportional to 5,077 and 10,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077 : 10,293.50 = 10,293.50 : x
2. Step 2: Convert to fraction form
   5,077/10,293.50 = 10,293.50/x
3. Step 3: Cross multiply
   5,077x = 10,293.50 × 10,293.50
4. Step 4: Simplify right side
   5,077x = 105,956,142.25
5. Step 5: Solve for x
   x = 105,956,142.25/5,077
6. Step 6: Final answer
   x = 20,869.83