Finding the Third Proportional to 1,582.50 and 3,471

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.50 : 3,471 = 3,471 : x
2. Step 2: Convert to fraction form
   1,582.50/3,471 = 3,471/x
3. Step 3: Cross multiply
   1,582.50x = 3,471 × 3,471
4. Step 4: Simplify right side
   1,582.50x = 12,047,841
5. Step 5: Solve for x
   x = 12,047,841/1,582.50
6. Step 6: Final answer
   x = 7,613.17