Finding the Third Proportional to 30,657 and 67,056

Step by Step Solution

1. Step 1: Write the proportion equation
   30,657 : 67,056 = 67,056 : x
2. Step 2: Convert to fraction form
   30,657/67,056 = 67,056/x
3. Step 3: Cross multiply
   30,657x = 67,056 × 67,056
4. Step 4: Simplify right side
   30,657x = 4,496,507,136
5. Step 5: Solve for x
   x = 4,496,507,136/30,657
6. Step 6: Final answer
   x = 146,671.47