Finding the Third Proportional to 28,638 and 42,098

Step by Step Solution

1. Step 1: Write the proportion equation
   28,638 : 42,098 = 42,098 : x
2. Step 2: Convert to fraction form
   28,638/42,098 = 42,098/x
3. Step 3: Cross multiply
   28,638x = 42,098 × 42,098
4. Step 4: Simplify right side
   28,638x = 1,772,241,604
5. Step 5: Solve for x
   x = 1,772,241,604/28,638
6. Step 6: Final answer
   x = 61,884.27