Finding the Third Proportional to 30,816 and 67,194

Step by Step Solution

1. Step 1: Write the proportion equation
   30,816 : 67,194 = 67,194 : x
2. Step 2: Convert to fraction form
   30,816/67,194 = 67,194/x
3. Step 3: Cross multiply
   30,816x = 67,194 × 67,194
4. Step 4: Simplify right side
   30,816x = 4,515,033,636
5. Step 5: Solve for x
   x = 4,515,033,636/30,816
6. Step 6: Final answer
   x = 146,515.89