Finding the Third Proportional to 19,666 and 42,458

Step by Step Solution

1. Step 1: Write the proportion equation
   19,666 : 42,458 = 42,458 : x
2. Step 2: Convert to fraction form
   19,666/42,458 = 42,458/x
3. Step 3: Cross multiply
   19,666x = 42,458 × 42,458
4. Step 4: Simplify right side
   19,666x = 1,802,681,764
5. Step 5: Solve for x
   x = 1,802,681,764/19,666
6. Step 6: Final answer
   x = 91,664.89