Finding the Third Proportional to 5,103.38 and 7,886.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,103.38 : 7,886.25 = 7,886.25 : x
2. Step 2: Convert to fraction form
   5,103.38/7,886.25 = 7,886.25/x
3. Step 3: Cross multiply
   5,103.38x = 7,886.25 × 7,886.25
4. Step 4: Simplify right side
   5,103.38x = 62,192,939.06
5. Step 5: Solve for x
   x = 62,192,939.06/5,103.38
6. Step 6: Final answer
   x = 12,186.63