Finding the Third Proportional to 23,085 and 53,946

Step by Step Solution

1. Step 1: Write the proportion equation
   23,085 : 53,946 = 53,946 : x
2. Step 2: Convert to fraction form
   23,085/53,946 = 53,946/x
3. Step 3: Cross multiply
   23,085x = 53,946 × 53,946
4. Step 4: Simplify right side
   23,085x = 2,910,170,916
5. Step 5: Solve for x
   x = 2,910,170,916/23,085
6. Step 6: Final answer
   x = 126,063.28