Finding the Third Proportional to 30,224 and 65,470

Step by Step Solution

1. Step 1: Write the proportion equation
   30,224 : 65,470 = 65,470 : x
2. Step 2: Convert to fraction form
   30,224/65,470 = 65,470/x
3. Step 3: Cross multiply
   30,224x = 65,470 × 65,470
4. Step 4: Simplify right side
   30,224x = 4,286,320,900
5. Step 5: Solve for x
   x = 4,286,320,900/30,224
6. Step 6: Final answer
   x = 141,818.45