Finding the Third Proportional to 4,807.69 and 7,415.72

Step by Step Solution

1. Step 1: Write the proportion equation
   4,807.69 : 7,415.72 = 7,415.72 : x
2. Step 2: Convert to fraction form
   4,807.69/7,415.72 = 7,415.72/x
3. Step 3: Cross multiply
   4,807.69x = 7,415.72 × 7,415.72
4. Step 4: Simplify right side
   4,807.69x = 54,992,884.58
5. Step 5: Solve for x
   x = 54,992,884.58/4,807.69
6. Step 6: Final answer
   x = 11,438.53