Finding the Third Proportional to 3,638.57 and 7,823.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.57 : 7,823.88 = 7,823.88 : x
2. Step 2: Convert to fraction form
   3,638.57/7,823.88 = 7,823.88/x
3. Step 3: Cross multiply
   3,638.57x = 7,823.88 × 7,823.88
4. Step 4: Simplify right side
   3,638.57x = 61,213,142.26
5. Step 5: Solve for x
   x = 61,213,142.26/3,638.57
6. Step 6: Final answer
   x = 16,823.42