Finding the Third Proportional to 42,096 and 65,672

Step by Step Solution

1. Step 1: Write the proportion equation
   42,096 : 65,672 = 65,672 : x
2. Step 2: Convert to fraction form
   42,096/65,672 = 65,672/x
3. Step 3: Cross multiply
   42,096x = 65,672 × 65,672
4. Step 4: Simplify right side
   42,096x = 4,312,811,584
5. Step 5: Solve for x
   x = 4,312,811,584/42,096
6. Step 6: Final answer
   x = 102,451.81