Finding the Third Proportional to 1,117.50 and 2,383.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,117.50 : 2,383.41 = 2,383.41 : x
2. Step 2: Convert to fraction form
   1,117.50/2,383.41 = 2,383.41/x
3. Step 3: Cross multiply
   1,117.50x = 2,383.41 × 2,383.41
4. Step 4: Simplify right side
   1,117.50x = 5,680,625.35
5. Step 5: Solve for x
   x = 5,680,625.35/1,117.50
6. Step 6: Final answer
   x = 5,083.33