Finding the Third Proportional to 3,687 and 8,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,687 : 8,092.50 = 8,092.50 : x
2. Step 2: Convert to fraction form
   3,687/8,092.50 = 8,092.50/x
3. Step 3: Cross multiply
   3,687x = 8,092.50 × 8,092.50
4. Step 4: Simplify right side
   3,687x = 65,488,556.25
5. Step 5: Solve for x
   x = 65,488,556.25/3,687
6. Step 6: Final answer
   x = 17,762.02