Finding the Third Proportional to 4,178.25 and 9,086.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,178.25 : 9,086.63 = 9,086.63 : x
2. Step 2: Convert to fraction form
   4,178.25/9,086.63 = 9,086.63/x
3. Step 3: Cross multiply
   4,178.25x = 9,086.63 × 9,086.63
4. Step 4: Simplify right side
   4,178.25x = 82,566,753.89
5. Step 5: Solve for x
   x = 82,566,753.89/4,178.25
6. Step 6: Final answer
   x = 19,761.09