Finding the Third Proportional to 30,864 and 67,536

Step by Step Solution

1. Step 1: Write the proportion equation
   30,864 : 67,536 = 67,536 : x
2. Step 2: Convert to fraction form
   30,864/67,536 = 67,536/x
3. Step 3: Cross multiply
   30,864x = 67,536 × 67,536
4. Step 4: Simplify right side
   30,864x = 4,561,111,296
5. Step 5: Solve for x
   x = 4,561,111,296/30,864
6. Step 6: Final answer
   x = 147,780.95