Finding the Third Proportional to 35,627 and 55,238

Step by Step Solution

1. Step 1: Write the proportion equation
   35,627 : 55,238 = 55,238 : x
2. Step 2: Convert to fraction form
   35,627/55,238 = 55,238/x
3. Step 3: Cross multiply
   35,627x = 55,238 × 55,238
4. Step 4: Simplify right side
   35,627x = 3,051,236,644
5. Step 5: Solve for x
   x = 3,051,236,644/35,627
6. Step 6: Final answer
   x = 85,643.94