Finding the Third Proportional to 9,822 and 18,300

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822 : 18,300 = 18,300 : x
2. Step 2: Convert to fraction form
   9,822/18,300 = 18,300/x
3. Step 3: Cross multiply
   9,822x = 18,300 × 18,300
4. Step 4: Simplify right side
   9,822x = 334,890,000
5. Step 5: Solve for x
   x = 334,890,000/9,822
6. Step 6: Final answer
   x = 34,095.91