Finding the Third Proportional to 19,809 and 31,535

Step by Step Solution

1. Step 1: Write the proportion equation
   19,809 : 31,535 = 31,535 : x
2. Step 2: Convert to fraction form
   19,809/31,535 = 31,535/x
3. Step 3: Cross multiply
   19,809x = 31,535 × 31,535
4. Step 4: Simplify right side
   19,809x = 994,456,225
5. Step 5: Solve for x
   x = 994,456,225/19,809
6. Step 6: Final answer
   x = 50,202.24