Finding the Third Proportional to 2,233 and 3,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233 : 3,477.50 = 3,477.50 : x
2. Step 2: Convert to fraction form
   2,233/3,477.50 = 3,477.50/x
3. Step 3: Cross multiply
   2,233x = 3,477.50 × 3,477.50
4. Step 4: Simplify right side
   2,233x = 12,093,006.25
5. Step 5: Solve for x
   x = 12,093,006.25/2,233
6. Step 6: Final answer
   x = 5,415.59