Finding the Third Proportional to 42,097 and 65,022

Step by Step Solution

1. Step 1: Write the proportion equation
   42,097 : 65,022 = 65,022 : x
2. Step 2: Convert to fraction form
   42,097/65,022 = 65,022/x
3. Step 3: Cross multiply
   42,097x = 65,022 × 65,022
4. Step 4: Simplify right side
   42,097x = 4,227,860,484
5. Step 5: Solve for x
   x = 4,227,860,484/42,097
6. Step 6: Final answer
   x = 100,431.40