Finding the Third Proportional to 5,864 and 13,846

Step by Step Solution

1. Step 1: Write the proportion equation
   5,864 : 13,846 = 13,846 : x
2. Step 2: Convert to fraction form
   5,864/13,846 = 13,846/x
3. Step 3: Cross multiply
   5,864x = 13,846 × 13,846
4. Step 4: Simplify right side
   5,864x = 191,711,716
5. Step 5: Solve for x
   x = 191,711,716/5,864
6. Step 6: Final answer
   x = 32,692.99