Finding the Third Proportional to 5,126.25 and 7,839.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,126.25 : 7,839.38 = 7,839.38 : x
2. Step 2: Convert to fraction form
   5,126.25/7,839.38 = 7,839.38/x
3. Step 3: Cross multiply
   5,126.25x = 7,839.38 × 7,839.38
4. Step 4: Simplify right side
   5,126.25x = 61,455,800.39
5. Step 5: Solve for x
   x = 61,455,800.39/5,126.25
6. Step 6: Final answer
   x = 11,988.45