Finding the Third Proportional to 16,174.69 and 27,838.69

Step by Step Solution

1. Step 1: Write the proportion equation
   16,174.69 : 27,838.69 = 27,838.69 : x
2. Step 2: Convert to fraction form
   16,174.69/27,838.69 = 27,838.69/x
3. Step 3: Cross multiply
   16,174.69x = 27,838.69 × 27,838.69
4. Step 4: Simplify right side
   16,174.69x = 774,992,521.72
5. Step 5: Solve for x
   x = 774,992,521.72/16,174.69
6. Step 6: Final answer
   x = 47,913.91