Finding the Third Proportional to 34,096 and 72,931

Step by Step Solution

1. Step 1: Write the proportion equation
   34,096 : 72,931 = 72,931 : x
2. Step 2: Convert to fraction form
   34,096/72,931 = 72,931/x
3. Step 3: Cross multiply
   34,096x = 72,931 × 72,931
4. Step 4: Simplify right side
   34,096x = 5,318,930,761
5. Step 5: Solve for x
   x = 5,318,930,761/34,096
6. Step 6: Final answer
   x = 155,998.67