Finding the Third Proportional to 6,406 and 13,934

Step by Step Solution

1. Step 1: Write the proportion equation
   6,406 : 13,934 = 13,934 : x
2. Step 2: Convert to fraction form
   6,406/13,934 = 13,934/x
3. Step 3: Cross multiply
   6,406x = 13,934 × 13,934
4. Step 4: Simplify right side
   6,406x = 194,156,356
5. Step 5: Solve for x
   x = 194,156,356/6,406
6. Step 6: Final answer
   x = 30,308.52