Finding the Third Proportional to 20,585 and 41,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,585 : 41,897.50 = 41,897.50 : x
2. Step 2: Convert to fraction form
   20,585/41,897.50 = 41,897.50/x
3. Step 3: Cross multiply
   20,585x = 41,897.50 × 41,897.50
4. Step 4: Simplify right side
   20,585x = 1,755,400,506.25
5. Step 5: Solve for x
   x = 1,755,400,506.25/20,585
6. Step 6: Final answer
   x = 85,275.71