Finding the Third Proportional to 1,947.80 and 4,233.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,947.80 : 4,233.52 = 4,233.52 : x
2. Step 2: Convert to fraction form
   1,947.80/4,233.52 = 4,233.52/x
3. Step 3: Cross multiply
   1,947.80x = 4,233.52 × 4,233.52
4. Step 4: Simplify right side
   1,947.80x = 17,922,654.55
5. Step 5: Solve for x
   x = 17,922,654.55/1,947.80
6. Step 6: Final answer
   x = 9,201.50