Finding the Third Proportional to 5,200 and 12,736

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 12,736 = 12,736 : x
2. Step 2: Convert to fraction form
   5,200/12,736 = 12,736/x
3. Step 3: Cross multiply
   5,200x = 12,736 × 12,736
4. Step 4: Simplify right side
   5,200x = 162,205,696
5. Step 5: Solve for x
   x = 162,205,696/5,200
6. Step 6: Final answer
   x = 31,193.40