Finding the Third Proportional to 1,582 and 3,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582 : 3,314.50 = 3,314.50 : x
2. Step 2: Convert to fraction form
   1,582/3,314.50 = 3,314.50/x
3. Step 3: Cross multiply
   1,582x = 3,314.50 × 3,314.50
4. Step 4: Simplify right side
   1,582x = 10,985,910.25
5. Step 5: Solve for x
   x = 10,985,910.25/1,582
6. Step 6: Final answer
   x = 6,944.32