Finding the Third Proportional to 9,825 and 21,360

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825 : 21,360 = 21,360 : x
2. Step 2: Convert to fraction form
   9,825/21,360 = 21,360/x
3. Step 3: Cross multiply
   9,825x = 21,360 × 21,360
4. Step 4: Simplify right side
   9,825x = 456,249,600
5. Step 5: Solve for x
   x = 456,249,600/9,825
6. Step 6: Final answer
   x = 46,437.62