Finding the Third Proportional to 20,583 and 41,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,583 : 41,894.50 = 41,894.50 : x
2. Step 2: Convert to fraction form
   20,583/41,894.50 = 41,894.50/x
3. Step 3: Cross multiply
   20,583x = 41,894.50 × 41,894.50
4. Step 4: Simplify right side
   20,583x = 1,755,149,130.25
5. Step 5: Solve for x
   x = 1,755,149,130.25/20,583
6. Step 6: Final answer
   x = 85,271.78