Finding the Third Proportional to 41,140 and 45,460

Step by Step Solution

1. Step 1: Write the proportion equation
   41,140 : 45,460 = 45,460 : x
2. Step 2: Convert to fraction form
   41,140/45,460 = 45,460/x
3. Step 3: Cross multiply
   41,140x = 45,460 × 45,460
4. Step 4: Simplify right side
   41,140x = 2,066,611,600
5. Step 5: Solve for x
   x = 2,066,611,600/41,140
6. Step 6: Final answer
   x = 50,233.63