Finding the Third Proportional to 35,562 and 59,262

Step by Step Solution

1. Step 1: Write the proportion equation
   35,562 : 59,262 = 59,262 : x
2. Step 2: Convert to fraction form
   35,562/59,262 = 59,262/x
3. Step 3: Cross multiply
   35,562x = 59,262 × 59,262
4. Step 4: Simplify right side
   35,562x = 3,511,984,644
5. Step 5: Solve for x
   x = 3,511,984,644/35,562
6. Step 6: Final answer
   x = 98,756.67