Finding the Third Proportional to 42,438 and 65,013

Step by Step Solution

1. Step 1: Write the proportion equation
   42,438 : 65,013 = 65,013 : x
2. Step 2: Convert to fraction form
   42,438/65,013 = 65,013/x
3. Step 3: Cross multiply
   42,438x = 65,013 × 65,013
4. Step 4: Simplify right side
   42,438x = 4,226,690,169
5. Step 5: Solve for x
   x = 4,226,690,169/42,438
6. Step 6: Final answer
   x = 99,596.83