Finding the Third Proportional to 37,344 and 57,825

Step by Step Solution

1. Step 1: Write the proportion equation
   37,344 : 57,825 = 57,825 : x
2. Step 2: Convert to fraction form
   37,344/57,825 = 57,825/x
3. Step 3: Cross multiply
   37,344x = 57,825 × 57,825
4. Step 4: Simplify right side
   37,344x = 3,343,730,625
5. Step 5: Solve for x
   x = 3,343,730,625/37,344
6. Step 6: Final answer
   x = 89,538.63