Finding the Third Proportional to 31,902 and 45,666

Step by Step Solution

1. Step 1: Write the proportion equation
   31,902 : 45,666 = 45,666 : x
2. Step 2: Convert to fraction form
   31,902/45,666 = 45,666/x
3. Step 3: Cross multiply
   31,902x = 45,666 × 45,666
4. Step 4: Simplify right side
   31,902x = 2,085,383,556
5. Step 5: Solve for x
   x = 2,085,383,556/31,902
6. Step 6: Final answer
   x = 65,368.43