Finding the Third Proportional to 6,184.69 and 14,527.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,184.69 : 14,527.69 = 14,527.69 : x
2. Step 2: Convert to fraction form
   6,184.69/14,527.69 = 14,527.69/x
3. Step 3: Cross multiply
   6,184.69x = 14,527.69 × 14,527.69
4. Step 4: Simplify right side
   6,184.69x = 211,053,704.10
5. Step 5: Solve for x
   x = 211,053,704.10/6,184.69
6. Step 6: Final answer
   x = 34,125.20