Finding the Third Proportional to 30,176 and 65,942

Step by Step Solution

1. Step 1: Write the proportion equation
   30,176 : 65,942 = 65,942 : x
2. Step 2: Convert to fraction form
   30,176/65,942 = 65,942/x
3. Step 3: Cross multiply
   30,176x = 65,942 × 65,942
4. Step 4: Simplify right side
   30,176x = 4,348,347,364
5. Step 5: Solve for x
   x = 4,348,347,364/30,176
6. Step 6: Final answer
   x = 144,099.53