Finding the Third Proportional to 1,585.41 and 3,272.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.41 : 3,272.06 = 3,272.06 : x
2. Step 2: Convert to fraction form
   1,585.41/3,272.06 = 3,272.06/x
3. Step 3: Cross multiply
   1,585.41x = 3,272.06 × 3,272.06
4. Step 4: Simplify right side
   1,585.41x = 10,706,393.00
5. Step 5: Solve for x
   x = 10,706,393.00/1,585.41
6. Step 6: Final answer
   x = 6,753.09