Finding the Third Proportional to 19,382 and 42,226

Step by Step Solution

1. Step 1: Write the proportion equation
   19,382 : 42,226 = 42,226 : x
2. Step 2: Convert to fraction form
   19,382/42,226 = 42,226/x
3. Step 3: Cross multiply
   19,382x = 42,226 × 42,226
4. Step 4: Simplify right side
   19,382x = 1,783,035,076
5. Step 5: Solve for x
   x = 1,783,035,076/19,382
6. Step 6: Final answer
   x = 91,994.38