Finding the Third Proportional to 19,744 and 42,764

Step by Step Solution

1. Step 1: Write the proportion equation
   19,744 : 42,764 = 42,764 : x
2. Step 2: Convert to fraction form
   19,744/42,764 = 42,764/x
3. Step 3: Cross multiply
   19,744x = 42,764 × 42,764
4. Step 4: Simplify right side
   19,744x = 1,828,759,696
5. Step 5: Solve for x
   x = 1,828,759,696/19,744
6. Step 6: Final answer
   x = 92,623.57