Finding the Third Proportional to 20,188 and 31,386

Step by Step Solution

1. Step 1: Write the proportion equation
   20,188 : 31,386 = 31,386 : x
2. Step 2: Convert to fraction form
   20,188/31,386 = 31,386/x
3. Step 3: Cross multiply
   20,188x = 31,386 × 31,386
4. Step 4: Simplify right side
   20,188x = 985,080,996
5. Step 5: Solve for x
   x = 985,080,996/20,188
6. Step 6: Final answer
   x = 48,795.37