Finding the Third Proportional to 19,224 and 31,386

Step by Step Solution

1. Step 1: Write the proportion equation
   19,224 : 31,386 = 31,386 : x
2. Step 2: Convert to fraction form
   19,224/31,386 = 31,386/x
3. Step 3: Cross multiply
   19,224x = 31,386 × 31,386
4. Step 4: Simplify right side
   19,224x = 985,080,996
5. Step 5: Solve for x
   x = 985,080,996/19,224
6. Step 6: Final answer
   x = 51,242.25