Finding the Third Proportional to 2,266.69 and 4,805.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,266.69 : 4,805.06 = 4,805.06 : x
2. Step 2: Convert to fraction form
   2,266.69/4,805.06 = 4,805.06/x
3. Step 3: Cross multiply
   2,266.69x = 4,805.06 × 4,805.06
4. Step 4: Simplify right side
   2,266.69x = 23,088,625.63
5. Step 5: Solve for x
   x = 23,088,625.63/2,266.69
6. Step 6: Final answer
   x = 10,186.06