Finding the Third Proportional to 5,384 and 13,012

Step by Step Solution

1. Step 1: Write the proportion equation
   5,384 : 13,012 = 13,012 : x
2. Step 2: Convert to fraction form
   5,384/13,012 = 13,012/x
3. Step 3: Cross multiply
   5,384x = 13,012 × 13,012
4. Step 4: Simplify right side
   5,384x = 169,312,144
5. Step 5: Solve for x
   x = 169,312,144/5,384
6. Step 6: Final answer
   x = 31,447.28