Finding the Third Proportional to 7,529.63 and 16,399.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,529.63 : 16,399.69 = 16,399.69 : x
2. Step 2: Convert to fraction form
   7,529.63/16,399.69 = 16,399.69/x
3. Step 3: Cross multiply
   7,529.63x = 16,399.69 × 16,399.69
4. Step 4: Simplify right side
   7,529.63x = 268,949,750.10
5. Step 5: Solve for x
   x = 268,949,750.10/7,529.63
6. Step 6: Final answer
   x = 35,718.88