Finding the Third Proportional to 6,846 and 9,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 9,796.50 = 9,796.50 : x
2. Step 2: Convert to fraction form
   6,846/9,796.50 = 9,796.50/x
3. Step 3: Cross multiply
   6,846x = 9,796.50 × 9,796.50
4. Step 4: Simplify right side
   6,846x = 95,971,412.25
5. Step 5: Solve for x
   x = 95,971,412.25/6,846
6. Step 6: Final answer
   x = 14,018.61