Finding the Third Proportional to 30,643 and 42,198

Step by Step Solution

1. Step 1: Write the proportion equation
   30,643 : 42,198 = 42,198 : x
2. Step 2: Convert to fraction form
   30,643/42,198 = 42,198/x
3. Step 3: Cross multiply
   30,643x = 42,198 × 42,198
4. Step 4: Simplify right side
   30,643x = 1,780,671,204
5. Step 5: Solve for x
   x = 1,780,671,204/30,643
6. Step 6: Final answer
   x = 58,110.21