Finding the Third Proportional to 1,141.59 and 2,478.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.59 : 2,478.09 = 2,478.09 : x
2. Step 2: Convert to fraction form
   1,141.59/2,478.09 = 2,478.09/x
3. Step 3: Cross multiply
   1,141.59x = 2,478.09 × 2,478.09
4. Step 4: Simplify right side
   1,141.59x = 6,140,948.63
5. Step 5: Solve for x
   x = 6,140,948.63/1,141.59
6. Step 6: Final answer
   x = 5,379.28