Finding the Third Proportional to 6,097.78 and 9,196.03

Step by Step Solution

1. Step 1: Write the proportion equation
   6,097.78 : 9,196.03 = 9,196.03 : x
2. Step 2: Convert to fraction form
   6,097.78/9,196.03 = 9,196.03/x
3. Step 3: Cross multiply
   6,097.78x = 9,196.03 × 9,196.03
4. Step 4: Simplify right side
   6,097.78x = 84,566,990.75
5. Step 5: Solve for x
   x = 84,566,990.75/6,097.78
6. Step 6: Final answer
   x = 13,868.49