Finding the Third Proportional to 3,862.69 and 9,784.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,862.69 : 9,784.69 = 9,784.69 : x
2. Step 2: Convert to fraction form
   3,862.69/9,784.69 = 9,784.69/x
3. Step 3: Cross multiply
   3,862.69x = 9,784.69 × 9,784.69
4. Step 4: Simplify right side
   3,862.69x = 95,740,109.47
5. Step 5: Solve for x
   x = 95,740,109.47/3,862.69
6. Step 6: Final answer
   x = 24,785.88