Finding the Third Proportional to 20,582 and 41,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,582 : 41,892.50 = 41,892.50 : x
2. Step 2: Convert to fraction form
   20,582/41,892.50 = 41,892.50/x
3. Step 3: Cross multiply
   20,582x = 41,892.50 × 41,892.50
4. Step 4: Simplify right side
   20,582x = 1,754,981,556.25
5. Step 5: Solve for x
   x = 1,754,981,556.25/20,582
6. Step 6: Final answer
   x = 85,267.79