Finding the Third Proportional to 32,972 and 67,096

Step by Step Solution

1. Step 1: Write the proportion equation
   32,972 : 67,096 = 67,096 : x
2. Step 2: Convert to fraction form
   32,972/67,096 = 67,096/x
3. Step 3: Cross multiply
   32,972x = 67,096 × 67,096
4. Step 4: Simplify right side
   32,972x = 4,501,873,216
5. Step 5: Solve for x
   x = 4,501,873,216/32,972
6. Step 6: Final answer
   x = 136,536.25