Finding the Third Proportional to 19,842 and 42,772

Step by Step Solution

1. Step 1: Write the proportion equation
   19,842 : 42,772 = 42,772 : x
2. Step 2: Convert to fraction form
   19,842/42,772 = 42,772/x
3. Step 3: Cross multiply
   19,842x = 42,772 × 42,772
4. Step 4: Simplify right side
   19,842x = 1,829,443,984
5. Step 5: Solve for x
   x = 1,829,443,984/19,842
6. Step 6: Final answer
   x = 92,200.58