Finding the Third Proportional to 24,065 and 35,898

Step by Step Solution

1. Step 1: Write the proportion equation
   24,065 : 35,898 = 35,898 : x
2. Step 2: Convert to fraction form
   24,065/35,898 = 35,898/x
3. Step 3: Cross multiply
   24,065x = 35,898 × 35,898
4. Step 4: Simplify right side
   24,065x = 1,288,666,404
5. Step 5: Solve for x
   x = 1,288,666,404/24,065
6. Step 6: Final answer
   x = 53,549.40