Finding the Third Proportional to 2,221.50 and 3,380.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,221.50 : 3,380.25 = 3,380.25 : x
2. Step 2: Convert to fraction form
   2,221.50/3,380.25 = 3,380.25/x
3. Step 3: Cross multiply
   2,221.50x = 3,380.25 × 3,380.25
4. Step 4: Simplify right side
   2,221.50x = 11,426,090.06
5. Step 5: Solve for x
   x = 11,426,090.06/2,221.50
6. Step 6: Final answer
   x = 5,143.41