Finding the Third Proportional to 30,189 and 65,564

Step by Step Solution

1. Step 1: Write the proportion equation
   30,189 : 65,564 = 65,564 : x
2. Step 2: Convert to fraction form
   30,189/65,564 = 65,564/x
3. Step 3: Cross multiply
   30,189x = 65,564 × 65,564
4. Step 4: Simplify right side
   30,189x = 4,298,638,096
5. Step 5: Solve for x
   x = 4,298,638,096/30,189
6. Step 6: Final answer
   x = 142,390.87