Finding the Third Proportional to 6,499.94 and 9,808.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.94 : 9,808.06 = 9,808.06 : x
2. Step 2: Convert to fraction form
   6,499.94/9,808.06 = 9,808.06/x
3. Step 3: Cross multiply
   6,499.94x = 9,808.06 × 9,808.06
4. Step 4: Simplify right side
   6,499.94x = 96,198,090.00
5. Step 5: Solve for x
   x = 96,198,090.00/6,499.94
6. Step 6: Final answer
   x = 14,799.85