Finding the Third Proportional to 36,406 and 54,942

Step by Step Solution

1. Step 1: Write the proportion equation
   36,406 : 54,942 = 54,942 : x
2. Step 2: Convert to fraction form
   36,406/54,942 = 54,942/x
3. Step 3: Cross multiply
   36,406x = 54,942 × 54,942
4. Step 4: Simplify right side
   36,406x = 3,018,623,364
5. Step 5: Solve for x
   x = 3,018,623,364/36,406
6. Step 6: Final answer
   x = 82,915.55