Finding the Third Proportional to 19,626 and 42,382

Step by Step Solution

1. Step 1: Write the proportion equation
   19,626 : 42,382 = 42,382 : x
2. Step 2: Convert to fraction form
   19,626/42,382 = 42,382/x
3. Step 3: Cross multiply
   19,626x = 42,382 × 42,382
4. Step 4: Simplify right side
   19,626x = 1,796,233,924
5. Step 5: Solve for x
   x = 1,796,233,924/19,626
6. Step 6: Final answer
   x = 91,523.18