Finding the Third Proportional to 5,918.06 and 9,208.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,918.06 : 9,208.69 = 9,208.69 : x
2. Step 2: Convert to fraction form
   5,918.06/9,208.69 = 9,208.69/x
3. Step 3: Cross multiply
   5,918.06x = 9,208.69 × 9,208.69
4. Step 4: Simplify right side
   5,918.06x = 84,799,925.47
5. Step 5: Solve for x
   x = 84,799,925.47/5,918.06
6. Step 6: Final answer
   x = 14,329.00