Finding the Third Proportional to 30,096 and 64,224

Step by Step Solution

1. Step 1: Write the proportion equation
   30,096 : 64,224 = 64,224 : x
2. Step 2: Convert to fraction form
   30,096/64,224 = 64,224/x
3. Step 3: Cross multiply
   30,096x = 64,224 × 64,224
4. Step 4: Simplify right side
   30,096x = 4,124,722,176
5. Step 5: Solve for x
   x = 4,124,722,176/30,096
6. Step 6: Final answer
   x = 137,052.17