Finding the Third Proportional to 5,185.69 and 7,623.28

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.69 : 7,623.28 = 7,623.28 : x
2. Step 2: Convert to fraction form
   5,185.69/7,623.28 = 7,623.28/x
3. Step 3: Cross multiply
   5,185.69x = 7,623.28 × 7,623.28
4. Step 4: Simplify right side
   5,185.69x = 58,114,417.02
5. Step 5: Solve for x
   x = 58,114,417.02/5,185.69
6. Step 6: Final answer
   x = 11,206.69