Finding the Third Proportional to 15,585 and 33,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,585 : 33,040.50 = 33,040.50 : x
2. Step 2: Convert to fraction form
   15,585/33,040.50 = 33,040.50/x
3. Step 3: Cross multiply
   15,585x = 33,040.50 × 33,040.50
4. Step 4: Simplify right side
   15,585x = 1,091,674,640.25
5. Step 5: Solve for x
   x = 1,091,674,640.25/15,585
6. Step 6: Final answer
   x = 70,046.50