Finding the Third Proportional to 1,343.14 and 1,813.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,343.14 : 1,813.96 = 1,813.96 : x
2. Step 2: Convert to fraction form
   1,343.14/1,813.96 = 1,813.96/x
3. Step 3: Cross multiply
   1,343.14x = 1,813.96 × 1,813.96
4. Step 4: Simplify right side
   1,343.14x = 3,290,440.11
5. Step 5: Solve for x
   x = 3,290,440.11/1,343.14
6. Step 6: Final answer
   x = 2,449.80