Finding the Third Proportional to 6,464 and 12,117

Step by Step Solution

1. Step 1: Write the proportion equation
   6,464 : 12,117 = 12,117 : x
2. Step 2: Convert to fraction form
   6,464/12,117 = 12,117/x
3. Step 3: Cross multiply
   6,464x = 12,117 × 12,117
4. Step 4: Simplify right side
   6,464x = 146,821,689
5. Step 5: Solve for x
   x = 146,821,689/6,464
6. Step 6: Final answer
   x = 22,713.75