Finding the Third Proportional to 1,363.50 and 2,166

Step by Step Solution

1. Step 1: Write the proportion equation
   1,363.50 : 2,166 = 2,166 : x
2. Step 2: Convert to fraction form
   1,363.50/2,166 = 2,166/x
3. Step 3: Cross multiply
   1,363.50x = 2,166 × 2,166
4. Step 4: Simplify right side
   1,363.50x = 4,691,556
5. Step 5: Solve for x
   x = 4,691,556/1,363.50
6. Step 6: Final answer
   x = 3,440.82