Finding the Third Proportional to 19,786 and 42,644

Step by Step Solution

1. Step 1: Write the proportion equation
   19,786 : 42,644 = 42,644 : x
2. Step 2: Convert to fraction form
   19,786/42,644 = 42,644/x
3. Step 3: Cross multiply
   19,786x = 42,644 × 42,644
4. Step 4: Simplify right side
   19,786x = 1,818,510,736
5. Step 5: Solve for x
   x = 1,818,510,736/19,786
6. Step 6: Final answer
   x = 91,908.96