Finding the Third Proportional to 42,639 and 59,642

Step by Step Solution

1. Step 1: Write the proportion equation
   42,639 : 59,642 = 59,642 : x
2. Step 2: Convert to fraction form
   42,639/59,642 = 59,642/x
3. Step 3: Cross multiply
   42,639x = 59,642 × 59,642
4. Step 4: Simplify right side
   42,639x = 3,557,168,164
5. Step 5: Solve for x
   x = 3,557,168,164/42,639
6. Step 6: Final answer
   x = 83,425.22