Finding the Third Proportional to 1,421.34 and 2,212.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.34 : 2,212.63 = 2,212.63 : x
2. Step 2: Convert to fraction form
   1,421.34/2,212.63 = 2,212.63/x
3. Step 3: Cross multiply
   1,421.34x = 2,212.63 × 2,212.63
4. Step 4: Simplify right side
   1,421.34x = 4,895,726.68
5. Step 5: Solve for x
   x = 4,895,726.68/1,421.34
6. Step 6: Final answer
   x = 3,444.45