Finding the Third Proportional to 37,342 and 57,823

Step by Step Solution

1. Step 1: Write the proportion equation
   37,342 : 57,823 = 57,823 : x
2. Step 2: Convert to fraction form
   37,342/57,823 = 57,823/x
3. Step 3: Cross multiply
   37,342x = 57,823 × 57,823
4. Step 4: Simplify right side
   37,342x = 3,343,499,329
5. Step 5: Solve for x
   x = 3,343,499,329/37,342
6. Step 6: Final answer
   x = 89,537.23