Finding the Third Proportional to 1,585 and 3,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585 : 3,272.50 = 3,272.50 : x
2. Step 2: Convert to fraction form
   1,585/3,272.50 = 3,272.50/x
3. Step 3: Cross multiply
   1,585x = 3,272.50 × 3,272.50
4. Step 4: Simplify right side
   1,585x = 10,709,256.25
5. Step 5: Solve for x
   x = 10,709,256.25/1,585
6. Step 6: Final answer
   x = 6,756.63