Finding the Third Proportional to 30,224 and 64,909

Step by Step Solution

1. Step 1: Write the proportion equation
   30,224 : 64,909 = 64,909 : x
2. Step 2: Convert to fraction form
   30,224/64,909 = 64,909/x
3. Step 3: Cross multiply
   30,224x = 64,909 × 64,909
4. Step 4: Simplify right side
   30,224x = 4,213,178,281
5. Step 5: Solve for x
   x = 4,213,178,281/30,224
6. Step 6: Final answer
   x = 139,398.43