Finding the Third Proportional to 30,641 and 42,194

Step by Step Solution

1. Step 1: Write the proportion equation
   30,641 : 42,194 = 42,194 : x
2. Step 2: Convert to fraction form
   30,641/42,194 = 42,194/x
3. Step 3: Cross multiply
   30,641x = 42,194 × 42,194
4. Step 4: Simplify right side
   30,641x = 1,780,333,636
5. Step 5: Solve for x
   x = 1,780,333,636/30,641
6. Step 6: Final answer
   x = 58,102.99