Finding the Third Proportional to 19,438 and 42,809

Step by Step Solution

1. Step 1: Write the proportion equation
   19,438 : 42,809 = 42,809 : x
2. Step 2: Convert to fraction form
   19,438/42,809 = 42,809/x
3. Step 3: Cross multiply
   19,438x = 42,809 × 42,809
4. Step 4: Simplify right side
   19,438x = 1,832,610,481
5. Step 5: Solve for x
   x = 1,832,610,481/19,438
6. Step 6: Final answer
   x = 94,279.79