Finding the Third Proportional to 1,214.16 and 1,835.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,214.16 : 1,835.72 = 1,835.72 : x
2. Step 2: Convert to fraction form
   1,214.16/1,835.72 = 1,835.72/x
3. Step 3: Cross multiply
   1,214.16x = 1,835.72 × 1,835.72
4. Step 4: Simplify right side
   1,214.16x = 3,369,863.33
5. Step 5: Solve for x
   x = 3,369,863.33/1,214.16
6. Step 6: Final answer
   x = 2,775.48