Finding the Third Proportional to 1,218.17 and 2,263.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,218.17 : 2,263.35 = 2,263.35 : x
2. Step 2: Convert to fraction form
   1,218.17/2,263.35 = 2,263.35/x
3. Step 3: Cross multiply
   1,218.17x = 2,263.35 × 2,263.35
4. Step 4: Simplify right side
   1,218.17x = 5,122,765.82
5. Step 5: Solve for x
   x = 5,122,765.82/1,218.17
6. Step 6: Final answer
   x = 4,205.28