Finding the Third Proportional to 19,680 and 42,278

Step by Step Solution

1. Step 1: Write the proportion equation
   19,680 : 42,278 = 42,278 : x
2. Step 2: Convert to fraction form
   19,680/42,278 = 42,278/x
3. Step 3: Cross multiply
   19,680x = 42,278 × 42,278
4. Step 4: Simplify right side
   19,680x = 1,787,429,284
5. Step 5: Solve for x
   x = 1,787,429,284/19,680
6. Step 6: Final answer
   x = 90,824.66