Finding the Third Proportional to 19,735 and 42,278

Step by Step Solution

1. Step 1: Write the proportion equation
   19,735 : 42,278 = 42,278 : x
2. Step 2: Convert to fraction form
   19,735/42,278 = 42,278/x
3. Step 3: Cross multiply
   19,735x = 42,278 × 42,278
4. Step 4: Simplify right side
   19,735x = 1,787,429,284
5. Step 5: Solve for x
   x = 1,787,429,284/19,735
6. Step 6: Final answer
   x = 90,571.54