Finding the Third Proportional to 5,830.31 and 12,582

Step by Step Solution

1. Step 1: Write the proportion equation
   5,830.31 : 12,582 = 12,582 : x
2. Step 2: Convert to fraction form
   5,830.31/12,582 = 12,582/x
3. Step 3: Cross multiply
   5,830.31x = 12,582 × 12,582
4. Step 4: Simplify right side
   5,830.31x = 158,306,724
5. Step 5: Solve for x
   x = 158,306,724/5,830.31
6. Step 6: Final answer
   x = 27,152.36