Finding the Third Proportional to 5,768.25 and 9,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,768.25 : 9,036.50 = 9,036.50 : x
2. Step 2: Convert to fraction form
   5,768.25/9,036.50 = 9,036.50/x
3. Step 3: Cross multiply
   5,768.25x = 9,036.50 × 9,036.50
4. Step 4: Simplify right side
   5,768.25x = 81,658,332.25
5. Step 5: Solve for x
   x = 81,658,332.25/5,768.25
6. Step 6: Final answer
   x = 14,156.52