Finding the Third Proportional to 40,642 and 59,378

Step by Step Solution

1. Step 1: Write the proportion equation
   40,642 : 59,378 = 59,378 : x
2. Step 2: Convert to fraction form
   40,642/59,378 = 59,378/x
3. Step 3: Cross multiply
   40,642x = 59,378 × 59,378
4. Step 4: Simplify right side
   40,642x = 3,525,746,884
5. Step 5: Solve for x
   x = 3,525,746,884/40,642
6. Step 6: Final answer
   x = 86,751.31