Finding the Third Proportional to 1,118 and 2,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,118 : 2,409.50 = 2,409.50 : x
2. Step 2: Convert to fraction form
   1,118/2,409.50 = 2,409.50/x
3. Step 3: Cross multiply
   1,118x = 2,409.50 × 2,409.50
4. Step 4: Simplify right side
   1,118x = 5,805,690.25
5. Step 5: Solve for x
   x = 5,805,690.25/1,118
6. Step 6: Final answer
   x = 5,192.93