Finding the Third Proportional to 2,213 and 3,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,213 : 3,545.50 = 3,545.50 : x
2. Step 2: Convert to fraction form
   2,213/3,545.50 = 3,545.50/x
3. Step 3: Cross multiply
   2,213x = 3,545.50 × 3,545.50
4. Step 4: Simplify right side
   2,213x = 12,570,570.25
5. Step 5: Solve for x
   x = 12,570,570.25/2,213
6. Step 6: Final answer
   x = 5,680.33