Finding the Third Proportional to 1,012.50 and 2,183.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.50 : 2,183.06 = 2,183.06 : x
2. Step 2: Convert to fraction form
   1,012.50/2,183.06 = 2,183.06/x
3. Step 3: Cross multiply
   1,012.50x = 2,183.06 × 2,183.06
4. Step 4: Simplify right side
   1,012.50x = 4,765,761.88
5. Step 5: Solve for x
   x = 4,765,761.88/1,012.50
6. Step 6: Final answer
   x = 4,706.93