Finding the Third Proportional to 19,842 and 42,748

Step by Step Solution

1. Step 1: Write the proportion equation
   19,842 : 42,748 = 42,748 : x
2. Step 2: Convert to fraction form
   19,842/42,748 = 42,748/x
3. Step 3: Cross multiply
   19,842x = 42,748 × 42,748
4. Step 4: Simplify right side
   19,842x = 1,827,391,504
5. Step 5: Solve for x
   x = 1,827,391,504/19,842
6. Step 6: Final answer
   x = 92,097.14