Finding the Third Proportional to 4,564.69 and 7,160.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,564.69 : 7,160.06 = 7,160.06 : x
2. Step 2: Convert to fraction form
   4,564.69/7,160.06 = 7,160.06/x
3. Step 3: Cross multiply
   4,564.69x = 7,160.06 × 7,160.06
4. Step 4: Simplify right side
   4,564.69x = 51,266,495.00
5. Step 5: Solve for x
   x = 51,266,495.00/4,564.69
6. Step 6: Final answer
   x = 11,231.11