Finding the Third Proportional to 10,086.40 and 20,582.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.40 : 20,582.86 = 20,582.86 : x
2. Step 2: Convert to fraction form
   10,086.40/20,582.86 = 20,582.86/x
3. Step 3: Cross multiply
   10,086.40x = 20,582.86 × 20,582.86
4. Step 4: Simplify right side
   10,086.40x = 423,654,100.05
5. Step 5: Solve for x
   x = 423,654,100.05/10,086.40
6. Step 6: Final answer
   x = 42,002.51