Finding the Third Proportional to 5,896 and 13,196

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896 : 13,196 = 13,196 : x
2. Step 2: Convert to fraction form
   5,896/13,196 = 13,196/x
3. Step 3: Cross multiply
   5,896x = 13,196 × 13,196
4. Step 4: Simplify right side
   5,896x = 174,134,416
5. Step 5: Solve for x
   x = 174,134,416/5,896
6. Step 6: Final answer
   x = 29,534.33