Finding the Third Proportional to 19,438 and 31,820

Step by Step Solution

1. Step 1: Write the proportion equation
   19,438 : 31,820 = 31,820 : x
2. Step 2: Convert to fraction form
   19,438/31,820 = 31,820/x
3. Step 3: Cross multiply
   19,438x = 31,820 × 31,820
4. Step 4: Simplify right side
   19,438x = 1,012,512,400
5. Step 5: Solve for x
   x = 1,012,512,400/19,438
6. Step 6: Final answer
   x = 52,089.33