Finding the Third Proportional to 6,846.88 and 9,784.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846.88 : 9,784.31 = 9,784.31 : x
2. Step 2: Convert to fraction form
   6,846.88/9,784.31 = 9,784.31/x
3. Step 3: Cross multiply
   6,846.88x = 9,784.31 × 9,784.31
4. Step 4: Simplify right side
   6,846.88x = 95,732,771.10
5. Step 5: Solve for x
   x = 95,732,771.10/6,846.88
6. Step 6: Final answer
   x = 13,981.97