Finding the Third Proportional to 2,009.50 and 3,072.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.50 : 3,072.15 = 3,072.15 : x
2. Step 2: Convert to fraction form
   2,009.50/3,072.15 = 3,072.15/x
3. Step 3: Cross multiply
   2,009.50x = 3,072.15 × 3,072.15
4. Step 4: Simplify right side
   2,009.50x = 9,438,084.02
5. Step 5: Solve for x
   x = 9,438,084.02/2,009.50
6. Step 6: Final answer
   x = 4,696.74