Finding the Third Proportional to 10,296.25 and 20,956.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.25 : 20,956.75 = 20,956.75 : x
2. Step 2: Convert to fraction form
   10,296.25/20,956.75 = 20,956.75/x
3. Step 3: Cross multiply
   10,296.25x = 20,956.75 × 20,956.75
4. Step 4: Simplify right side
   10,296.25x = 439,185,370.56
5. Step 5: Solve for x
   x = 439,185,370.56/10,296.25
6. Step 6: Final answer
   x = 42,654.89