Finding the Third Proportional to 32,868 and 70,824

Step by Step Solution

1. Step 1: Write the proportion equation
   32,868 : 70,824 = 70,824 : x
2. Step 2: Convert to fraction form
   32,868/70,824 = 70,824/x
3. Step 3: Cross multiply
   32,868x = 70,824 × 70,824
4. Step 4: Simplify right side
   32,868x = 5,016,038,976
5. Step 5: Solve for x
   x = 5,016,038,976/32,868
6. Step 6: Final answer
   x = 152,611.63