Finding the Third Proportional to 10,196.25 and 21,027

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196.25 : 21,027 = 21,027 : x
2. Step 2: Convert to fraction form
   10,196.25/21,027 = 21,027/x
3. Step 3: Cross multiply
   10,196.25x = 21,027 × 21,027
4. Step 4: Simplify right side
   10,196.25x = 442,134,729
5. Step 5: Solve for x
   x = 442,134,729/10,196.25
6. Step 6: Final answer
   x = 43,362.48