Finding the Third Proportional to 3,642.47 and 9,208.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.47 : 9,208.69 = 9,208.69 : x
2. Step 2: Convert to fraction form
   3,642.47/9,208.69 = 9,208.69/x
3. Step 3: Cross multiply
   3,642.47x = 9,208.69 × 9,208.69
4. Step 4: Simplify right side
   3,642.47x = 84,799,925.47
5. Step 5: Solve for x
   x = 84,799,925.47/3,642.47
6. Step 6: Final answer
   x = 23,280.89