Finding the Third Proportional to 37,296 and 57,576

Step by Step Solution

1. Step 1: Write the proportion equation
   37,296 : 57,576 = 57,576 : x
2. Step 2: Convert to fraction form
   37,296/57,576 = 57,576/x
3. Step 3: Cross multiply
   37,296x = 57,576 × 57,576
4. Step 4: Simplify right side
   37,296x = 3,314,995,776
5. Step 5: Solve for x
   x = 3,314,995,776/37,296
6. Step 6: Final answer
   x = 88,883.41