Finding the Third Proportional to 9,822 and 19,140

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822 : 19,140 = 19,140 : x
2. Step 2: Convert to fraction form
   9,822/19,140 = 19,140/x
3. Step 3: Cross multiply
   9,822x = 19,140 × 19,140
4. Step 4: Simplify right side
   9,822x = 366,339,600
5. Step 5: Solve for x
   x = 366,339,600/9,822
6. Step 6: Final answer
   x = 37,297.86