Finding the Third Proportional to 30,642 and 67,026

Step by Step Solution

1. Step 1: Write the proportion equation
   30,642 : 67,026 = 67,026 : x
2. Step 2: Convert to fraction form
   30,642/67,026 = 67,026/x
3. Step 3: Cross multiply
   30,642x = 67,026 × 67,026
4. Step 4: Simplify right side
   30,642x = 4,492,484,676
5. Step 5: Solve for x
   x = 4,492,484,676/30,642
6. Step 6: Final answer
   x = 146,611.99