Finding the Third Proportional to 6,464 and 14,139

Step by Step Solution

1. Step 1: Write the proportion equation
   6,464 : 14,139 = 14,139 : x
2. Step 2: Convert to fraction form
   6,464/14,139 = 14,139/x
3. Step 3: Cross multiply
   6,464x = 14,139 × 14,139
4. Step 4: Simplify right side
   6,464x = 199,911,321
5. Step 5: Solve for x
   x = 199,911,321/6,464
6. Step 6: Final answer
   x = 30,926.88