Finding the Third Proportional to 1,685.81 and 3,127.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.81 : 3,127.78 = 3,127.78 : x
2. Step 2: Convert to fraction form
   1,685.81/3,127.78 = 3,127.78/x
3. Step 3: Cross multiply
   1,685.81x = 3,127.78 × 3,127.78
4. Step 4: Simplify right side
   1,685.81x = 9,783,015.55
5. Step 5: Solve for x
   x = 9,783,015.55/1,685.81
6. Step 6: Final answer
   x = 5,803.15