Finding the Third Proportional to 7,436.81 and 16,002.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,436.81 : 16,002.56 = 16,002.56 : x
2. Step 2: Convert to fraction form
   7,436.81/16,002.56 = 16,002.56/x
3. Step 3: Cross multiply
   7,436.81x = 16,002.56 × 16,002.56
4. Step 4: Simplify right side
   7,436.81x = 256,082,006.57
5. Step 5: Solve for x
   x = 256,082,006.57/7,436.81
6. Step 6: Final answer
   x = 34,434.38