Finding the Third Proportional to 35,546 and 52,022

Step by Step Solution

1. Step 1: Write the proportion equation
   35,546 : 52,022 = 52,022 : x
2. Step 2: Convert to fraction form
   35,546/52,022 = 52,022/x
3. Step 3: Cross multiply
   35,546x = 52,022 × 52,022
4. Step 4: Simplify right side
   35,546x = 2,706,288,484
5. Step 5: Solve for x
   x = 2,706,288,484/35,546
6. Step 6: Final answer
   x = 76,134.82