Finding the Third Proportional to 5,131.48 and 7,338.41

Step by Step Solution

1. Step 1: Write the proportion equation
   5,131.48 : 7,338.41 = 7,338.41 : x
2. Step 2: Convert to fraction form
   5,131.48/7,338.41 = 7,338.41/x
3. Step 3: Cross multiply
   5,131.48x = 7,338.41 × 7,338.41
4. Step 4: Simplify right side
   5,131.48x = 53,852,263.62
5. Step 5: Solve for x
   x = 53,852,263.62/5,131.48
6. Step 6: Final answer
   x = 10,494.50