Finding the Third Proportional to 1,947.75 and 4,168.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,947.75 : 4,168.72 = 4,168.72 : x
2. Step 2: Convert to fraction form
   1,947.75/4,168.72 = 4,168.72/x
3. Step 3: Cross multiply
   1,947.75x = 4,168.72 × 4,168.72
4. Step 4: Simplify right side
   1,947.75x = 17,378,216.02
5. Step 5: Solve for x
   x = 17,378,216.02/1,947.75
6. Step 6: Final answer
   x = 8,922.20