Finding the Third Proportional to 1,685.81 and 3,610.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.81 : 3,610.83 = 3,610.83 : x
2. Step 2: Convert to fraction form
   1,685.81/3,610.83 = 3,610.83/x
3. Step 3: Cross multiply
   1,685.81x = 3,610.83 × 3,610.83
4. Step 4: Simplify right side
   1,685.81x = 13,038,079.75
5. Step 5: Solve for x
   x = 13,038,079.75/1,685.81
6. Step 6: Final answer
   x = 7,734.00