Finding the Third Proportional to 19,681 and 42,008

Step by Step Solution

1. Step 1: Write the proportion equation
   19,681 : 42,008 = 42,008 : x
2. Step 2: Convert to fraction form
   19,681/42,008 = 42,008/x
3. Step 3: Cross multiply
   19,681x = 42,008 × 42,008
4. Step 4: Simplify right side
   19,681x = 1,764,672,064
5. Step 5: Solve for x
   x = 1,764,672,064/19,681
6. Step 6: Final answer
   x = 89,663.74