Finding the Third Proportional to 7,830 and 12,801

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 12,801 = 12,801 : x
2. Step 2: Convert to fraction form
   7,830/12,801 = 12,801/x
3. Step 3: Cross multiply
   7,830x = 12,801 × 12,801
4. Step 4: Simplify right side
   7,830x = 163,865,601
5. Step 5: Solve for x
   x = 163,865,601/7,830
6. Step 6: Final answer
   x = 20,927.92