Finding the Third Proportional to 1,414.55 and 1,848.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.55 : 1,848.23 = 1,848.23 : x
2. Step 2: Convert to fraction form
   1,414.55/1,848.23 = 1,848.23/x
3. Step 3: Cross multiply
   1,414.55x = 1,848.23 × 1,848.23
4. Step 4: Simplify right side
   1,414.55x = 3,415,970.30
5. Step 5: Solve for x
   x = 3,415,970.30/1,414.55
6. Step 6: Final answer
   x = 2,414.89