Finding the Third Proportional to 19,932 and 31,111

Step by Step Solution

1. Step 1: Write the proportion equation
   19,932 : 31,111 = 31,111 : x
2. Step 2: Convert to fraction form
   19,932/31,111 = 31,111/x
3. Step 3: Cross multiply
   19,932x = 31,111 × 31,111
4. Step 4: Simplify right side
   19,932x = 967,894,321
5. Step 5: Solve for x
   x = 967,894,321/19,932
6. Step 6: Final answer
   x = 48,559.82