Finding the Third Proportional to 1,211.34 and 1,864.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,211.34 : 1,864.41 = 1,864.41 : x
2. Step 2: Convert to fraction form
   1,211.34/1,864.41 = 1,864.41/x
3. Step 3: Cross multiply
   1,211.34x = 1,864.41 × 1,864.41
4. Step 4: Simplify right side
   1,211.34x = 3,476,010.67
5. Step 5: Solve for x
   x = 3,476,010.67/1,211.34
6. Step 6: Final answer
   x = 2,869.55