Finding the Third Proportional to 30,147 and 65,484

Step by Step Solution

1. Step 1: Write the proportion equation
   30,147 : 65,484 = 65,484 : x
2. Step 2: Convert to fraction form
   30,147/65,484 = 65,484/x
3. Step 3: Cross multiply
   30,147x = 65,484 × 65,484
4. Step 4: Simplify right side
   30,147x = 4,288,154,256
5. Step 5: Solve for x
   x = 4,288,154,256/30,147
6. Step 6: Final answer
   x = 142,241.49