Finding the Third Proportional to 6,846 and 7,830

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 7,830 = 7,830 : x
2. Step 2: Convert to fraction form
   6,846/7,830 = 7,830/x
3. Step 3: Cross multiply
   6,846x = 7,830 × 7,830
4. Step 4: Simplify right side
   6,846x = 61,308,900
5. Step 5: Solve for x
   x = 61,308,900/6,846
6. Step 6: Final answer
   x = 8,955.43