Finding the Third Proportional to 3,897.63 and 8,549.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,897.63 : 8,549.78 = 8,549.78 : x
2. Step 2: Convert to fraction form
   3,897.63/8,549.78 = 8,549.78/x
3. Step 3: Cross multiply
   3,897.63x = 8,549.78 × 8,549.78
4. Step 4: Simplify right side
   3,897.63x = 73,098,759.42
5. Step 5: Solve for x
   x = 73,098,759.42/3,897.63
6. Step 6: Final answer
   x = 18,754.69