Finding the Third Proportional to 50,334 and 75,627

Step by Step Solution

1. Step 1: Write the proportion equation
   50,334 : 75,627 = 75,627 : x
2. Step 2: Convert to fraction form
   50,334/75,627 = 75,627/x
3. Step 3: Cross multiply
   50,334x = 75,627 × 75,627
4. Step 4: Simplify right side
   50,334x = 5,719,443,129
5. Step 5: Solve for x
   x = 5,719,443,129/50,334
6. Step 6: Final answer
   x = 113,629.82