Finding the Third Proportional to 1,176.19 and 1,645.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.19 : 1,645.31 = 1,645.31 : x
2. Step 2: Convert to fraction form
   1,176.19/1,645.31 = 1,645.31/x
3. Step 3: Cross multiply
   1,176.19x = 1,645.31 × 1,645.31
4. Step 4: Simplify right side
   1,176.19x = 2,707,053.22
5. Step 5: Solve for x
   x = 2,707,053.22/1,176.19
6. Step 6: Final answer
   x = 2,301.55