Finding the Third Proportional to 30,914 and 67,338

Step by Step Solution

1. Step 1: Write the proportion equation
   30,914 : 67,338 = 67,338 : x
2. Step 2: Convert to fraction form
   30,914/67,338 = 67,338/x
3. Step 3: Cross multiply
   30,914x = 67,338 × 67,338
4. Step 4: Simplify right side
   30,914x = 4,534,406,244
5. Step 5: Solve for x
   x = 4,534,406,244/30,914
6. Step 6: Final answer
   x = 146,678.08