Finding the Third Proportional to 30,664 and 67,412

Step by Step Solution

1. Step 1: Write the proportion equation
   30,664 : 67,412 = 67,412 : x
2. Step 2: Convert to fraction form
   30,664/67,412 = 67,412/x
3. Step 3: Cross multiply
   30,664x = 67,412 × 67,412
4. Step 4: Simplify right side
   30,664x = 4,544,377,744
5. Step 5: Solve for x
   x = 4,544,377,744/30,664
6. Step 6: Final answer
   x = 148,199.12