Finding the Third Proportional to 5,294.25 and 7,437.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,294.25 : 7,437.38 = 7,437.38 : x
2. Step 2: Convert to fraction form
   5,294.25/7,437.38 = 7,437.38/x
3. Step 3: Cross multiply
   5,294.25x = 7,437.38 × 7,437.38
4. Step 4: Simplify right side
   5,294.25x = 55,314,546.89
5. Step 5: Solve for x
   x = 55,314,546.89/5,294.25
6. Step 6: Final answer
   x = 10,448.04