Finding the Third Proportional to 1,685.81 and 3,602.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.81 : 3,602.60 = 3,602.60 : x
2. Step 2: Convert to fraction form
   1,685.81/3,602.60 = 3,602.60/x
3. Step 3: Cross multiply
   1,685.81x = 3,602.60 × 3,602.60
4. Step 4: Simplify right side
   1,685.81x = 12,978,738.02
5. Step 5: Solve for x
   x = 12,978,738.02/1,685.81
6. Step 6: Final answer
   x = 7,698.80