Finding the Third Proportional to 30,132 and 65,124

Step by Step Solution

1. Step 1: Write the proportion equation
   30,132 : 65,124 = 65,124 : x
2. Step 2: Convert to fraction form
   30,132/65,124 = 65,124/x
3. Step 3: Cross multiply
   30,132x = 65,124 × 65,124
4. Step 4: Simplify right side
   30,132x = 4,241,135,376
5. Step 5: Solve for x
   x = 4,241,135,376/30,132
6. Step 6: Final answer
   x = 140,751.87