Finding the Third Proportional to 30,942 and 53,946

Step by Step Solution

1. Step 1: Write the proportion equation
   30,942 : 53,946 = 53,946 : x
2. Step 2: Convert to fraction form
   30,942/53,946 = 53,946/x
3. Step 3: Cross multiply
   30,942x = 53,946 × 53,946
4. Step 4: Simplify right side
   30,942x = 2,910,170,916
5. Step 5: Solve for x
   x = 2,910,170,916/30,942
6. Step 6: Final answer
   x = 94,052.45