Finding the Third Proportional to 1,414.88 and 2,193.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.88 : 2,193.38 = 2,193.38 : x
2. Step 2: Convert to fraction form
   1,414.88/2,193.38 = 2,193.38/x
3. Step 3: Cross multiply
   1,414.88x = 2,193.38 × 2,193.38
4. Step 4: Simplify right side
   1,414.88x = 4,810,893.89
5. Step 5: Solve for x
   x = 4,810,893.89/1,414.88
6. Step 6: Final answer
   x = 3,400.23