Finding the Third Proportional to 35,096 and 53,020

Step by Step Solution

1. Step 1: Write the proportion equation
   35,096 : 53,020 = 53,020 : x
2. Step 2: Convert to fraction form
   35,096/53,020 = 53,020/x
3. Step 3: Cross multiply
   35,096x = 53,020 × 53,020
4. Step 4: Simplify right side
   35,096x = 2,811,120,400
5. Step 5: Solve for x
   x = 2,811,120,400/35,096
6. Step 6: Final answer
   x = 80,098.03