Finding the Third Proportional to 8,002.50 and 18,696

Step by Step Solution

1. Step 1: Write the proportion equation
   8,002.50 : 18,696 = 18,696 : x
2. Step 2: Convert to fraction form
   8,002.50/18,696 = 18,696/x
3. Step 3: Cross multiply
   8,002.50x = 18,696 × 18,696
4. Step 4: Simplify right side
   8,002.50x = 349,540,416
5. Step 5: Solve for x
   x = 349,540,416/8,002.50
6. Step 6: Final answer
   x = 43,678.90