Finding the Third Proportional to 21,200 and 31,791

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 31,791 = 31,791 : x
2. Step 2: Convert to fraction form
   21,200/31,791 = 31,791/x
3. Step 3: Cross multiply
   21,200x = 31,791 × 31,791
4. Step 4: Simplify right side
   21,200x = 1,010,667,681
5. Step 5: Solve for x
   x = 1,010,667,681/21,200
6. Step 6: Final answer
   x = 47,673.00