Finding the Third Proportional to 13,205 and 28,686

Step by Step Solution

1. Step 1: Write the proportion equation
   13,205 : 28,686 = 28,686 : x
2. Step 2: Convert to fraction form
   13,205/28,686 = 28,686/x
3. Step 3: Cross multiply
   13,205x = 28,686 × 28,686
4. Step 4: Simplify right side
   13,205x = 822,886,596
5. Step 5: Solve for x
   x = 822,886,596/13,205
6. Step 6: Final answer
   x = 62,316.29