Finding the Third Proportional to 12,921.75 and 18,947.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,921.75 : 18,947.25 = 18,947.25 : x
2. Step 2: Convert to fraction form
   12,921.75/18,947.25 = 18,947.25/x
3. Step 3: Cross multiply
   12,921.75x = 18,947.25 × 18,947.25
4. Step 4: Simplify right side
   12,921.75x = 358,998,282.56
5. Step 5: Solve for x
   x = 358,998,282.56/12,921.75
6. Step 6: Final answer
   x = 27,782.48