Finding the Third Proportional to 3,634.88 and 8,021.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,634.88 : 8,021.53 = 8,021.53 : x
2. Step 2: Convert to fraction form
   3,634.88/8,021.53 = 8,021.53/x
3. Step 3: Cross multiply
   3,634.88x = 8,021.53 × 8,021.53
4. Step 4: Simplify right side
   3,634.88x = 64,344,963.59
5. Step 5: Solve for x
   x = 64,344,963.59/3,634.88
6. Step 6: Final answer
   x = 17,702.11