Finding the Third Proportional to 1,562.34 and 3,397.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,562.34 : 3,397.78 = 3,397.78 : x
2. Step 2: Convert to fraction form
   1,562.34/3,397.78 = 3,397.78/x
3. Step 3: Cross multiply
   1,562.34x = 3,397.78 × 3,397.78
4. Step 4: Simplify right side
   1,562.34x = 11,544,917.42
5. Step 5: Solve for x
   x = 11,544,917.42/1,562.34
6. Step 6: Final answer
   x = 7,389.49