Finding the Third Proportional to 2,785.50 and 5,954.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.50 : 5,954.50 = 5,954.50 : x
2. Step 2: Convert to fraction form
   2,785.50/5,954.50 = 5,954.50/x
3. Step 3: Cross multiply
   2,785.50x = 5,954.50 × 5,954.50
4. Step 4: Simplify right side
   2,785.50x = 35,456,070.25
5. Step 5: Solve for x
   x = 35,456,070.25/2,785.50
6. Step 6: Final answer
   x = 12,728.80