Finding the Third Proportional to 13,384 and 27,830

Step by Step Solution

1. Step 1: Write the proportion equation
   13,384 : 27,830 = 27,830 : x
2. Step 2: Convert to fraction form
   13,384/27,830 = 27,830/x
3. Step 3: Cross multiply
   13,384x = 27,830 × 27,830
4. Step 4: Simplify right side
   13,384x = 774,508,900
5. Step 5: Solve for x
   x = 774,508,900/13,384
6. Step 6: Final answer
   x = 57,868.27