Finding the Third Proportional to 4,699.69 and 7,038.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,699.69 : 7,038.56 = 7,038.56 : x
2. Step 2: Convert to fraction form
   4,699.69/7,038.56 = 7,038.56/x
3. Step 3: Cross multiply
   4,699.69x = 7,038.56 × 7,038.56
4. Step 4: Simplify right side
   4,699.69x = 49,541,362.07
5. Step 5: Solve for x
   x = 49,541,362.07/4,699.69
6. Step 6: Final answer
   x = 10,541.42