Finding the Third Proportional to 1,983 and 3,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,983 : 3,184.50 = 3,184.50 : x
2. Step 2: Convert to fraction form
   1,983/3,184.50 = 3,184.50/x
3. Step 3: Cross multiply
   1,983x = 3,184.50 × 3,184.50
4. Step 4: Simplify right side
   1,983x = 10,141,040.25
5. Step 5: Solve for x
   x = 10,141,040.25/1,983
6. Step 6: Final answer
   x = 5,113.99