Finding the Third Proportional to 30,299.25 and 65,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   30,299.25 : 65,096.25 = 65,096.25 : x
2. Step 2: Convert to fraction form
   30,299.25/65,096.25 = 65,096.25/x
3. Step 3: Cross multiply
   30,299.25x = 65,096.25 × 65,096.25
4. Step 4: Simplify right side
   30,299.25x = 4,237,521,764.06
5. Step 5: Solve for x
   x = 4,237,521,764.06/30,299.25
6. Step 6: Final answer
   x = 139,855.67