Finding the Third Proportional to 3,182.63 and 4,894.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,182.63 : 4,894.59 = 4,894.59 : x
2. Step 2: Convert to fraction form
   3,182.63/4,894.59 = 4,894.59/x
3. Step 3: Cross multiply
   3,182.63x = 4,894.59 × 4,894.59
4. Step 4: Simplify right side
   3,182.63x = 23,957,047.98
5. Step 5: Solve for x
   x = 23,957,047.98/3,182.63
6. Step 6: Final answer
   x = 7,527.45