Finding the Third Proportional to 3,623.63 and 5,328.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,623.63 : 5,328.56 = 5,328.56 : x
2. Step 2: Convert to fraction form
   3,623.63/5,328.56 = 5,328.56/x
3. Step 3: Cross multiply
   3,623.63x = 5,328.56 × 5,328.56
4. Step 4: Simplify right side
   3,623.63x = 28,393,578.32
5. Step 5: Solve for x
   x = 28,393,578.32/3,623.63
6. Step 6: Final answer
   x = 7,835.68