Finding the Third Proportional to 35,178 and 62,562

Step by Step Solution

1. Step 1: Write the proportion equation
   35,178 : 62,562 = 62,562 : x
2. Step 2: Convert to fraction form
   35,178/62,562 = 62,562/x
3. Step 3: Cross multiply
   35,178x = 62,562 × 62,562
4. Step 4: Simplify right side
   35,178x = 3,914,003,844
5. Step 5: Solve for x
   x = 3,914,003,844/35,178
6. Step 6: Final answer
   x = 111,262.83