Finding the Third Proportional to 23,642 and 37,083

Step by Step Solution

1. Step 1: Write the proportion equation
   23,642 : 37,083 = 37,083 : x
2. Step 2: Convert to fraction form
   23,642/37,083 = 37,083/x
3. Step 3: Cross multiply
   23,642x = 37,083 × 37,083
4. Step 4: Simplify right side
   23,642x = 1,375,148,889
5. Step 5: Solve for x
   x = 1,375,148,889/23,642
6. Step 6: Final answer
   x = 58,165.51