Finding the Third Proportional to 19,574 and 42,338

Step by Step Solution

1. Step 1: Write the proportion equation
   19,574 : 42,338 = 42,338 : x
2. Step 2: Convert to fraction form
   19,574/42,338 = 42,338/x
3. Step 3: Cross multiply
   19,574x = 42,338 × 42,338
4. Step 4: Simplify right side
   19,574x = 1,792,506,244
5. Step 5: Solve for x
   x = 1,792,506,244/19,574
6. Step 6: Final answer
   x = 91,575.88