Finding the Third Proportional to 6,196 and 13,564

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196 : 13,564 = 13,564 : x
2. Step 2: Convert to fraction form
   6,196/13,564 = 13,564/x
3. Step 3: Cross multiply
   6,196x = 13,564 × 13,564
4. Step 4: Simplify right side
   6,196x = 183,982,096
5. Step 5: Solve for x
   x = 183,982,096/6,196
6. Step 6: Final answer
   x = 29,693.69