Finding the Third Proportional to 5,077.69 and 12,384.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.69 : 12,384.14 = 12,384.14 : x
2. Step 2: Convert to fraction form
   5,077.69/12,384.14 = 12,384.14/x
3. Step 3: Cross multiply
   5,077.69x = 12,384.14 × 12,384.14
4. Step 4: Simplify right side
   5,077.69x = 153,366,939.02
5. Step 5: Solve for x
   x = 153,366,939.02/5,077.69
6. Step 6: Final answer
   x = 30,204.09