Finding the Third Proportional to 5,150.25 and 7,367.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,150.25 : 7,367.63 = 7,367.63 : x
2. Step 2: Convert to fraction form
   5,150.25/7,367.63 = 7,367.63/x
3. Step 3: Cross multiply
   5,150.25x = 7,367.63 × 7,367.63
4. Step 4: Simplify right side
   5,150.25x = 54,281,898.14
5. Step 5: Solve for x
   x = 54,281,898.14/5,150.25
6. Step 6: Final answer
   x = 10,539.66