Finding the Third Proportional to 30,838 and 63,864

Step by Step Solution

1. Step 1: Write the proportion equation
   30,838 : 63,864 = 63,864 : x
2. Step 2: Convert to fraction form
   30,838/63,864 = 63,864/x
3. Step 3: Cross multiply
   30,838x = 63,864 × 63,864
4. Step 4: Simplify right side
   30,838x = 4,078,610,496
5. Step 5: Solve for x
   x = 4,078,610,496/30,838
6. Step 6: Final answer
   x = 132,259.24