Finding the Third Proportional to 10,424.25 and 20,322

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.25 : 20,322 = 20,322 : x
2. Step 2: Convert to fraction form
   10,424.25/20,322 = 20,322/x
3. Step 3: Cross multiply
   10,424.25x = 20,322 × 20,322
4. Step 4: Simplify right side
   10,424.25x = 412,983,684
5. Step 5: Solve for x
   x = 412,983,684/10,424.25
6. Step 6: Final answer
   x = 39,617.59