Finding the Third Proportional to 23,384 and 37,024

Step by Step Solution

1. Step 1: Write the proportion equation
   23,384 : 37,024 = 37,024 : x
2. Step 2: Convert to fraction form
   23,384/37,024 = 37,024/x
3. Step 3: Cross multiply
   23,384x = 37,024 × 37,024
4. Step 4: Simplify right side
   23,384x = 1,370,776,576
5. Step 5: Solve for x
   x = 1,370,776,576/23,384
6. Step 6: Final answer
   x = 58,620.28