Finding the Third Proportional to 1,682.50 and 3,685.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682.50 : 3,685.63 = 3,685.63 : x
2. Step 2: Convert to fraction form
   1,682.50/3,685.63 = 3,685.63/x
3. Step 3: Cross multiply
   1,682.50x = 3,685.63 × 3,685.63
4. Step 4: Simplify right side
   1,682.50x = 13,583,831.64
5. Step 5: Solve for x
   x = 13,583,831.64/1,682.50
6. Step 6: Final answer
   x = 8,073.60