Finding the Third Proportional to 23,842 and 37,143

Step by Step Solution

1. Step 1: Write the proportion equation
   23,842 : 37,143 = 37,143 : x
2. Step 2: Convert to fraction form
   23,842/37,143 = 37,143/x
3. Step 3: Cross multiply
   23,842x = 37,143 × 37,143
4. Step 4: Simplify right side
   23,842x = 1,379,602,449
5. Step 5: Solve for x
   x = 1,379,602,449/23,842
6. Step 6: Final answer
   x = 57,864.38