Finding the Third Proportional to 25,740 and 39,830

Step by Step Solution

1. Step 1: Write the proportion equation
   25,740 : 39,830 = 39,830 : x
2. Step 2: Convert to fraction form
   25,740/39,830 = 39,830/x
3. Step 3: Cross multiply
   25,740x = 39,830 × 39,830
4. Step 4: Simplify right side
   25,740x = 1,586,428,900
5. Step 5: Solve for x
   x = 1,586,428,900/25,740
6. Step 6: Final answer
   x = 61,632.82