Finding the Third Proportional to 4,677.28 and 7,112.02

Step by Step Solution

1. Step 1: Write the proportion equation
   4,677.28 : 7,112.02 = 7,112.02 : x
2. Step 2: Convert to fraction form
   4,677.28/7,112.02 = 7,112.02/x
3. Step 3: Cross multiply
   4,677.28x = 7,112.02 × 7,112.02
4. Step 4: Simplify right side
   4,677.28x = 50,580,849.59
5. Step 5: Solve for x
   x = 50,580,849.59/4,677.28
6. Step 6: Final answer
   x = 10,814.17