Finding the Third Proportional to 30,864 and 63,184

Step by Step Solution

1. Step 1: Write the proportion equation
   30,864 : 63,184 = 63,184 : x
2. Step 2: Convert to fraction form
   30,864/63,184 = 63,184/x
3. Step 3: Cross multiply
   30,864x = 63,184 × 63,184
4. Step 4: Simplify right side
   30,864x = 3,992,217,856
5. Step 5: Solve for x
   x = 3,992,217,856/30,864
6. Step 6: Final answer
   x = 129,348.69