Finding the Third Proportional to 32,967 and 72,138

Step by Step Solution

1. Step 1: Write the proportion equation
   32,967 : 72,138 = 72,138 : x
2. Step 2: Convert to fraction form
   32,967/72,138 = 72,138/x
3. Step 3: Cross multiply
   32,967x = 72,138 × 72,138
4. Step 4: Simplify right side
   32,967x = 5,203,891,044
5. Step 5: Solve for x
   x = 5,203,891,044/32,967
6. Step 6: Final answer
   x = 157,851.52