Finding the Third Proportional to 23,144 and 38,172

Step by Step Solution

1. Step 1: Write the proportion equation
   23,144 : 38,172 = 38,172 : x
2. Step 2: Convert to fraction form
   23,144/38,172 = 38,172/x
3. Step 3: Cross multiply
   23,144x = 38,172 × 38,172
4. Step 4: Simplify right side
   23,144x = 1,457,101,584
5. Step 5: Solve for x
   x = 1,457,101,584/23,144
6. Step 6: Final answer
   x = 62,958.07