Finding the Third Proportional to 3,781.69 and 9,089.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.69 : 9,089.72 = 9,089.72 : x
2. Step 2: Convert to fraction form
   3,781.69/9,089.72 = 9,089.72/x
3. Step 3: Cross multiply
   3,781.69x = 9,089.72 × 9,089.72
4. Step 4: Simplify right side
   3,781.69x = 82,622,986.95
5. Step 5: Solve for x
   x = 82,622,986.95/3,781.69
6. Step 6: Final answer
   x = 21,848.18