Finding the Third Proportional to 1,294.41 and 2,824.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.41 : 2,824.31 = 2,824.31 : x
2. Step 2: Convert to fraction form
   1,294.41/2,824.31 = 2,824.31/x
3. Step 3: Cross multiply
   1,294.41x = 2,824.31 × 2,824.31
4. Step 4: Simplify right side
   1,294.41x = 7,976,741.10
5. Step 5: Solve for x
   x = 7,976,741.10/1,294.41
6. Step 6: Final answer
   x = 6,162.47