Finding the Third Proportional to 1,016.61 and 2,238.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.61 : 2,238.26 = 2,238.26 : x
2. Step 2: Convert to fraction form
   1,016.61/2,238.26 = 2,238.26/x
3. Step 3: Cross multiply
   1,016.61x = 2,238.26 × 2,238.26
4. Step 4: Simplify right side
   1,016.61x = 5,009,798.04
5. Step 5: Solve for x
   x = 5,009,798.04/1,016.61
6. Step 6: Final answer
   x = 4,927.93