Finding the Third Proportional to 30,146 and 65,481

Step by Step Solution

1. Step 1: Write the proportion equation
   30,146 : 65,481 = 65,481 : x
2. Step 2: Convert to fraction form
   30,146/65,481 = 65,481/x
3. Step 3: Cross multiply
   30,146x = 65,481 × 65,481
4. Step 4: Simplify right side
   30,146x = 4,287,761,361
5. Step 5: Solve for x
   x = 4,287,761,361/30,146
6. Step 6: Final answer
   x = 142,233.18