Finding the Third Proportional to 3,582 and 5,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,582 : 5,158.50 = 5,158.50 : x
2. Step 2: Convert to fraction form
   3,582/5,158.50 = 5,158.50/x
3. Step 3: Cross multiply
   3,582x = 5,158.50 × 5,158.50
4. Step 4: Simplify right side
   3,582x = 26,610,122.25
5. Step 5: Solve for x
   x = 26,610,122.25/3,582
6. Step 6: Final answer
   x = 7,428.84