Finding the Third Proportional to 42,455 and 65,465

Step by Step Solution

1. Step 1: Write the proportion equation
   42,455 : 65,465 = 65,465 : x
2. Step 2: Convert to fraction form
   42,455/65,465 = 65,465/x
3. Step 3: Cross multiply
   42,455x = 65,465 × 65,465
4. Step 4: Simplify right side
   42,455x = 4,285,666,225
5. Step 5: Solve for x
   x = 4,285,666,225/42,455
6. Step 6: Final answer
   x = 100,946.09