Finding the Third Proportional to 37,152 and 57,024

Step by Step Solution

1. Step 1: Write the proportion equation
   37,152 : 57,024 = 57,024 : x
2. Step 2: Convert to fraction form
   37,152/57,024 = 57,024/x
3. Step 3: Cross multiply
   37,152x = 57,024 × 57,024
4. Step 4: Simplify right side
   37,152x = 3,251,736,576
5. Step 5: Solve for x
   x = 3,251,736,576/37,152
6. Step 6: Final answer
   x = 87,525.21