Finding the Third Proportional to 19,570 and 31,509

Step by Step Solution

1. Step 1: Write the proportion equation
   19,570 : 31,509 = 31,509 : x
2. Step 2: Convert to fraction form
   19,570/31,509 = 31,509/x
3. Step 3: Cross multiply
   19,570x = 31,509 × 31,509
4. Step 4: Simplify right side
   19,570x = 992,817,081
5. Step 5: Solve for x
   x = 992,817,081/19,570
6. Step 6: Final answer
   x = 50,731.58