Finding the Third Proportional to 31,698 and 45,687

Step by Step Solution

1. Step 1: Write the proportion equation
   31,698 : 45,687 = 45,687 : x
2. Step 2: Convert to fraction form
   31,698/45,687 = 45,687/x
3. Step 3: Cross multiply
   31,698x = 45,687 × 45,687
4. Step 4: Simplify right side
   31,698x = 2,087,301,969
5. Step 5: Solve for x
   x = 2,087,301,969/31,698
6. Step 6: Final answer
   x = 65,849.64