Finding the Third Proportional to 19,414 and 42,064

Step by Step Solution

1. Step 1: Write the proportion equation
   19,414 : 42,064 = 42,064 : x
2. Step 2: Convert to fraction form
   19,414/42,064 = 42,064/x
3. Step 3: Cross multiply
   19,414x = 42,064 × 42,064
4. Step 4: Simplify right side
   19,414x = 1,769,380,096
5. Step 5: Solve for x
   x = 1,769,380,096/19,414
6. Step 6: Final answer
   x = 91,139.39