Finding the Third Proportional to 1,162.05 and 1,656.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.05 : 1,656.49 = 1,656.49 : x
2. Step 2: Convert to fraction form
   1,162.05/1,656.49 = 1,656.49/x
3. Step 3: Cross multiply
   1,162.05x = 1,656.49 × 1,656.49
4. Step 4: Simplify right side
   1,162.05x = 2,743,966.37
5. Step 5: Solve for x
   x = 2,743,966.37/1,162.05
6. Step 6: Final answer
   x = 2,361.31