Finding the Third Proportional to 9,825 and 21,290

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825 : 21,290 = 21,290 : x
2. Step 2: Convert to fraction form
   9,825/21,290 = 21,290/x
3. Step 3: Cross multiply
   9,825x = 21,290 × 21,290
4. Step 4: Simplify right side
   9,825x = 453,264,100
5. Step 5: Solve for x
   x = 453,264,100/9,825
6. Step 6: Final answer
   x = 46,133.75