Finding the Third Proportional to 18,784 and 31,314

Step by Step Solution

1. Step 1: Write the proportion equation
   18,784 : 31,314 = 31,314 : x
2. Step 2: Convert to fraction form
   18,784/31,314 = 31,314/x
3. Step 3: Cross multiply
   18,784x = 31,314 × 31,314
4. Step 4: Simplify right side
   18,784x = 980,566,596
5. Step 5: Solve for x
   x = 980,566,596/18,784
6. Step 6: Final answer
   x = 52,202.23