Finding the Third Proportional to 20,580 and 31,314

Step by Step Solution

1. Step 1: Write the proportion equation
   20,580 : 31,314 = 31,314 : x
2. Step 2: Convert to fraction form
   20,580/31,314 = 31,314/x
3. Step 3: Cross multiply
   20,580x = 31,314 × 31,314
4. Step 4: Simplify right side
   20,580x = 980,566,596
5. Step 5: Solve for x
   x = 980,566,596/20,580
6. Step 6: Final answer
   x = 47,646.58