Finding the Third Proportional to 1,456.31 and 2,613.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.31 : 2,613.94 = 2,613.94 : x
2. Step 2: Convert to fraction form
   1,456.31/2,613.94 = 2,613.94/x
3. Step 3: Cross multiply
   1,456.31x = 2,613.94 × 2,613.94
4. Step 4: Simplify right side
   1,456.31x = 6,832,669.25
5. Step 5: Solve for x
   x = 6,832,669.25/1,456.31
6. Step 6: Final answer
   x = 4,691.76