Finding the Third Proportional to 19,646 and 42,406

Step by Step Solution

1. Step 1: Write the proportion equation
   19,646 : 42,406 = 42,406 : x
2. Step 2: Convert to fraction form
   19,646/42,406 = 42,406/x
3. Step 3: Cross multiply
   19,646x = 42,406 × 42,406
4. Step 4: Simplify right side
   19,646x = 1,798,268,836
5. Step 5: Solve for x
   x = 1,798,268,836/19,646
6. Step 6: Final answer
   x = 91,533.59