Finding the Third Proportional to 30,898 and 67,664

Step by Step Solution

1. Step 1: Write the proportion equation
   30,898 : 67,664 = 67,664 : x
2. Step 2: Convert to fraction form
   30,898/67,664 = 67,664/x
3. Step 3: Cross multiply
   30,898x = 67,664 × 67,664
4. Step 4: Simplify right side
   30,898x = 4,578,416,896
5. Step 5: Solve for x
   x = 4,578,416,896/30,898
6. Step 6: Final answer
   x = 148,178.42