Finding the Third Proportional to 35,146 and 54,627

Step by Step Solution

1. Step 1: Write the proportion equation
   35,146 : 54,627 = 54,627 : x
2. Step 2: Convert to fraction form
   35,146/54,627 = 54,627/x
3. Step 3: Cross multiply
   35,146x = 54,627 × 54,627
4. Step 4: Simplify right side
   35,146x = 2,984,109,129
5. Step 5: Solve for x
   x = 2,984,109,129/35,146
6. Step 6: Final answer
   x = 84,906.08