Finding the Third Proportional to 9,768 and 16,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 16,036.50 = 16,036.50 : x
2. Step 2: Convert to fraction form
   9,768/16,036.50 = 16,036.50/x
3. Step 3: Cross multiply
   9,768x = 16,036.50 × 16,036.50
4. Step 4: Simplify right side
   9,768x = 257,169,332.25
5. Step 5: Solve for x
   x = 257,169,332.25/9,768
6. Step 6: Final answer
   x = 26,327.74