Finding the Third Proportional to 24,084 and 37,830

Step by Step Solution

1. Step 1: Write the proportion equation
   24,084 : 37,830 = 37,830 : x
2. Step 2: Convert to fraction form
   24,084/37,830 = 37,830/x
3. Step 3: Cross multiply
   24,084x = 37,830 × 37,830
4. Step 4: Simplify right side
   24,084x = 1,431,108,900
5. Step 5: Solve for x
   x = 1,431,108,900/24,084
6. Step 6: Final answer
   x = 59,421.56