Finding the Third Proportional to 1,182.94 and 2,570.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.94 : 2,570.06 = 2,570.06 : x
2. Step 2: Convert to fraction form
   1,182.94/2,570.06 = 2,570.06/x
3. Step 3: Cross multiply
   1,182.94x = 2,570.06 × 2,570.06
4. Step 4: Simplify right side
   1,182.94x = 6,605,221.25
5. Step 5: Solve for x
   x = 6,605,221.25/1,182.94
6. Step 6: Final answer
   x = 5,583.74