Finding the Third Proportional to 6,498.56 and 9,293.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,498.56 : 9,293.25 = 9,293.25 : x
2. Step 2: Convert to fraction form
   6,498.56/9,293.25 = 9,293.25/x
3. Step 3: Cross multiply
   6,498.56x = 9,293.25 × 9,293.25
4. Step 4: Simplify right side
   6,498.56x = 86,364,495.56
5. Step 5: Solve for x
   x = 86,364,495.56/6,498.56
6. Step 6: Final answer
   x = 13,289.78