Finding the Third Proportional to 5,097.38 and 7,844.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097.38 : 7,844.63 = 7,844.63 : x
2. Step 2: Convert to fraction form
   5,097.38/7,844.63 = 7,844.63/x
3. Step 3: Cross multiply
   5,097.38x = 7,844.63 × 7,844.63
4. Step 4: Simplify right side
   5,097.38x = 61,538,141.39
5. Step 5: Solve for x
   x = 61,538,141.39/5,097.38
6. Step 6: Final answer
   x = 12,072.52