Finding the Third Proportional to 1,221.74 and 2,667.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,221.74 : 2,667.54 = 2,667.54 : x
2. Step 2: Convert to fraction form
   1,221.74/2,667.54 = 2,667.54/x
3. Step 3: Cross multiply
   1,221.74x = 2,667.54 × 2,667.54
4. Step 4: Simplify right side
   1,221.74x = 7,115,780.28
5. Step 5: Solve for x
   x = 7,115,780.28/1,221.74
6. Step 6: Final answer
   x = 5,824.28