Finding the Third Proportional to 3,784.69 and 8,271.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.69 : 8,271.56 = 8,271.56 : x
2. Step 2: Convert to fraction form
   3,784.69/8,271.56 = 8,271.56/x
3. Step 3: Cross multiply
   3,784.69x = 8,271.56 × 8,271.56
4. Step 4: Simplify right side
   3,784.69x = 68,418,746.19
5. Step 5: Solve for x
   x = 68,418,746.19/3,784.69
6. Step 6: Final answer
   x = 18,077.78