Finding the Third Proportional to 30,646 and 42,202

Step by Step Solution

1. Step 1: Write the proportion equation
   30,646 : 42,202 = 42,202 : x
2. Step 2: Convert to fraction form
   30,646/42,202 = 42,202/x
3. Step 3: Cross multiply
   30,646x = 42,202 × 42,202
4. Step 4: Simplify right side
   30,646x = 1,781,008,804
5. Step 5: Solve for x
   x = 1,781,008,804/30,646
6. Step 6: Final answer
   x = 58,115.54