Finding the Third Proportional to 3,644 and 7,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,644 : 7,788.50 = 7,788.50 : x
2. Step 2: Convert to fraction form
   3,644/7,788.50 = 7,788.50/x
3. Step 3: Cross multiply
   3,644x = 7,788.50 × 7,788.50
4. Step 4: Simplify right side
   3,644x = 60,660,732.25
5. Step 5: Solve for x
   x = 60,660,732.25/3,644
6. Step 6: Final answer
   x = 16,646.74