Finding the Third Proportional to 19,434 and 42,380

Step by Step Solution

1. Step 1: Write the proportion equation
   19,434 : 42,380 = 42,380 : x
2. Step 2: Convert to fraction form
   19,434/42,380 = 42,380/x
3. Step 3: Cross multiply
   19,434x = 42,380 × 42,380
4. Step 4: Simplify right side
   19,434x = 1,796,064,400
5. Step 5: Solve for x
   x = 1,796,064,400/19,434
6. Step 6: Final answer
   x = 92,418.67