Finding the Third Proportional to 30,597 and 67,754

Step by Step Solution

1. Step 1: Write the proportion equation
   30,597 : 67,754 = 67,754 : x
2. Step 2: Convert to fraction form
   30,597/67,754 = 67,754/x
3. Step 3: Cross multiply
   30,597x = 67,754 × 67,754
4. Step 4: Simplify right side
   30,597x = 4,590,604,516
5. Step 5: Solve for x
   x = 4,590,604,516/30,597
6. Step 6: Final answer
   x = 150,034.46