Finding the Third Proportional to 31,102 and 46,809

Step by Step Solution

1. Step 1: Write the proportion equation
   31,102 : 46,809 = 46,809 : x
2. Step 2: Convert to fraction form
   31,102/46,809 = 46,809/x
3. Step 3: Cross multiply
   31,102x = 46,809 × 46,809
4. Step 4: Simplify right side
   31,102x = 2,191,082,481
5. Step 5: Solve for x
   x = 2,191,082,481/31,102
6. Step 6: Final answer
   x = 70,448.28