Finding the Third Proportional to 35,121 and 76,098

Step by Step Solution

1. Step 1: Write the proportion equation
   35,121 : 76,098 = 76,098 : x
2. Step 2: Convert to fraction form
   35,121/76,098 = 76,098/x
3. Step 3: Cross multiply
   35,121x = 76,098 × 76,098
4. Step 4: Simplify right side
   35,121x = 5,790,905,604
5. Step 5: Solve for x
   x = 5,790,905,604/35,121
6. Step 6: Final answer
   x = 164,884.42