Finding the Third Proportional to 40,638 and 53,938

Step by Step Solution

1. Step 1: Write the proportion equation
   40,638 : 53,938 = 53,938 : x
2. Step 2: Convert to fraction form
   40,638/53,938 = 53,938/x
3. Step 3: Cross multiply
   40,638x = 53,938 × 53,938
4. Step 4: Simplify right side
   40,638x = 2,909,307,844
5. Step 5: Solve for x
   x = 2,909,307,844/40,638
6. Step 6: Final answer
   x = 71,590.82