Finding the Third Proportional to 10,624 and 19,922

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 19,922 = 19,922 : x
2. Step 2: Convert to fraction form
   10,624/19,922 = 19,922/x
3. Step 3: Cross multiply
   10,624x = 19,922 × 19,922
4. Step 4: Simplify right side
   10,624x = 396,886,084
5. Step 5: Solve for x
   x = 396,886,084/10,624
6. Step 6: Final answer
   x = 37,357.50