Finding the Third Proportional to 2,123 and 3,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123 : 3,343.50 = 3,343.50 : x
2. Step 2: Convert to fraction form
   2,123/3,343.50 = 3,343.50/x
3. Step 3: Cross multiply
   2,123x = 3,343.50 × 3,343.50
4. Step 4: Simplify right side
   2,123x = 11,178,992.25
5. Step 5: Solve for x
   x = 11,178,992.25/2,123
6. Step 6: Final answer
   x = 5,265.66