Finding the Third Proportional to 1,195.31 and 1,613.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,195.31 : 1,613.81 = 1,613.81 : x
2. Step 2: Convert to fraction form
   1,195.31/1,613.81 = 1,613.81/x
3. Step 3: Cross multiply
   1,195.31x = 1,613.81 × 1,613.81
4. Step 4: Simplify right side
   1,195.31x = 2,604,390.79
5. Step 5: Solve for x
   x = 2,604,390.79/1,195.31
6. Step 6: Final answer
   x = 2,178.84