Finding the Third Proportional to 1,256.34 and 2,351.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.34 : 2,351.81 = 2,351.81 : x
2. Step 2: Convert to fraction form
   1,256.34/2,351.81 = 2,351.81/x
3. Step 3: Cross multiply
   1,256.34x = 2,351.81 × 2,351.81
4. Step 4: Simplify right side
   1,256.34x = 5,531,022.04
5. Step 5: Solve for x
   x = 5,531,022.04/1,256.34
6. Step 6: Final answer
   x = 4,402.48