Finding the Third Proportional to 2,837.21 and 5,947.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,837.21 : 5,947.80 = 5,947.80 : x
2. Step 2: Convert to fraction form
   2,837.21/5,947.80 = 5,947.80/x
3. Step 3: Cross multiply
   2,837.21x = 5,947.80 × 5,947.80
4. Step 4: Simplify right side
   2,837.21x = 35,376,380.60
5. Step 5: Solve for x
   x = 35,376,380.60/2,837.21
6. Step 6: Final answer
   x = 12,468.70