Finding the Third Proportional to 31,546 and 64,730

Step by Step Solution

1. Step 1: Write the proportion equation
   31,546 : 64,730 = 64,730 : x
2. Step 2: Convert to fraction form
   31,546/64,730 = 64,730/x
3. Step 3: Cross multiply
   31,546x = 64,730 × 64,730
4. Step 4: Simplify right side
   31,546x = 4,189,972,900
5. Step 5: Solve for x
   x = 4,189,972,900/31,546
6. Step 6: Final answer
   x = 132,821.05