Finding the Third Proportional to 19,540 and 42,758

Step by Step Solution

1. Step 1: Write the proportion equation
   19,540 : 42,758 = 42,758 : x
2. Step 2: Convert to fraction form
   19,540/42,758 = 42,758/x
3. Step 3: Cross multiply
   19,540x = 42,758 × 42,758
4. Step 4: Simplify right side
   19,540x = 1,828,246,564
5. Step 5: Solve for x
   x = 1,828,246,564/19,540
6. Step 6: Final answer
   x = 93,564.31