Finding the Third Proportional to 32,878 and 71,894

Step by Step Solution

1. Step 1: Write the proportion equation
   32,878 : 71,894 = 71,894 : x
2. Step 2: Convert to fraction form
   32,878/71,894 = 71,894/x
3. Step 3: Cross multiply
   32,878x = 71,894 × 71,894
4. Step 4: Simplify right side
   32,878x = 5,168,747,236
5. Step 5: Solve for x
   x = 5,168,747,236/32,878
6. Step 6: Final answer
   x = 157,209.90