Finding the Third Proportional to 5,095.41 and 7,415.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,095.41 : 7,415.30 = 7,415.30 : x
2. Step 2: Convert to fraction form
   5,095.41/7,415.30 = 7,415.30/x
3. Step 3: Cross multiply
   5,095.41x = 7,415.30 × 7,415.30
4. Step 4: Simplify right side
   5,095.41x = 54,986,627.74
5. Step 5: Solve for x
   x = 54,986,627.74/5,095.41
6. Step 6: Final answer
   x = 10,791.41