Finding the Third Proportional to 3,643.59 and 7,868.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,643.59 : 7,868.53 = 7,868.53 : x
2. Step 2: Convert to fraction form
   3,643.59/7,868.53 = 7,868.53/x
3. Step 3: Cross multiply
   3,643.59x = 7,868.53 × 7,868.53
4. Step 4: Simplify right side
   3,643.59x = 61,913,784.03
5. Step 5: Solve for x
   x = 61,913,784.03/3,643.59
6. Step 6: Final answer
   x = 16,992.50