Finding the Third Proportional to 25,169 and 37,024

Step by Step Solution

1. Step 1: Write the proportion equation
   25,169 : 37,024 = 37,024 : x
2. Step 2: Convert to fraction form
   25,169/37,024 = 37,024/x
3. Step 3: Cross multiply
   25,169x = 37,024 × 37,024
4. Step 4: Simplify right side
   25,169x = 1,370,776,576
5. Step 5: Solve for x
   x = 1,370,776,576/25,169
6. Step 6: Final answer
   x = 54,462.89