Finding the Third Proportional to 19,689 and 42,036

Step by Step Solution

1. Step 1: Write the proportion equation
   19,689 : 42,036 = 42,036 : x
2. Step 2: Convert to fraction form
   19,689/42,036 = 42,036/x
3. Step 3: Cross multiply
   19,689x = 42,036 × 42,036
4. Step 4: Simplify right side
   19,689x = 1,767,025,296
5. Step 5: Solve for x
   x = 1,767,025,296/19,689
6. Step 6: Final answer
   x = 89,746.83