Finding the Third Proportional to 23,238 and 31,224

Step by Step Solution

1. Step 1: Write the proportion equation
   23,238 : 31,224 = 31,224 : x
2. Step 2: Convert to fraction form
   23,238/31,224 = 31,224/x
3. Step 3: Cross multiply
   23,238x = 31,224 × 31,224
4. Step 4: Simplify right side
   23,238x = 974,938,176
5. Step 5: Solve for x
   x = 974,938,176/23,238
6. Step 6: Final answer
   x = 41,954.48