Finding the Third Proportional to 30,096 and 64,817

Step by Step Solution

1. Step 1: Write the proportion equation
   30,096 : 64,817 = 64,817 : x
2. Step 2: Convert to fraction form
   30,096/64,817 = 64,817/x
3. Step 3: Cross multiply
   30,096x = 64,817 × 64,817
4. Step 4: Simplify right side
   30,096x = 4,201,243,489
5. Step 5: Solve for x
   x = 4,201,243,489/30,096
6. Step 6: Final answer
   x = 139,594.75