Finding the Third Proportional to 1,221 and 2,677.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,221 : 2,677.25 = 2,677.25 : x
2. Step 2: Convert to fraction form
   1,221/2,677.25 = 2,677.25/x
3. Step 3: Cross multiply
   1,221x = 2,677.25 × 2,677.25
4. Step 4: Simplify right side
   1,221x = 7,167,667.56
5. Step 5: Solve for x
   x = 7,167,667.56/1,221
6. Step 6: Final answer
   x = 5,870.33