Finding the Third Proportional to 7,788.38 and 16,891.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,788.38 : 16,891.31 = 16,891.31 : x
2. Step 2: Convert to fraction form
   7,788.38/16,891.31 = 16,891.31/x
3. Step 3: Cross multiply
   7,788.38x = 16,891.31 × 16,891.31
4. Step 4: Simplify right side
   7,788.38x = 285,316,437.97
5. Step 5: Solve for x
   x = 285,316,437.97/7,788.38
6. Step 6: Final answer
   x = 36,633.63