Finding the Third Proportional to 23,784 and 31,282

Step by Step Solution

1. Step 1: Write the proportion equation
   23,784 : 31,282 = 31,282 : x
2. Step 2: Convert to fraction form
   23,784/31,282 = 31,282/x
3. Step 3: Cross multiply
   23,784x = 31,282 × 31,282
4. Step 4: Simplify right side
   23,784x = 978,563,524
5. Step 5: Solve for x
   x = 978,563,524/23,784
6. Step 6: Final answer
   x = 41,143.77