Finding the Third Proportional to 42,642 and 88,020

Step by Step Solution

1. Step 1: Write the proportion equation
   42,642 : 88,020 = 88,020 : x
2. Step 2: Convert to fraction form
   42,642/88,020 = 88,020/x
3. Step 3: Cross multiply
   42,642x = 88,020 × 88,020
4. Step 4: Simplify right side
   42,642x = 7,747,520,400
5. Step 5: Solve for x
   x = 7,747,520,400/42,642
6. Step 6: Final answer
   x = 181,687.55