Finding the Third Proportional to 19,696 and 42,674

Step by Step Solution

1. Step 1: Write the proportion equation
   19,696 : 42,674 = 42,674 : x
2. Step 2: Convert to fraction form
   19,696/42,674 = 42,674/x
3. Step 3: Cross multiply
   19,696x = 42,674 × 42,674
4. Step 4: Simplify right side
   19,696x = 1,821,070,276
5. Step 5: Solve for x
   x = 1,821,070,276/19,696
6. Step 6: Final answer
   x = 92,458.89