Finding the Third Proportional to 30,012 and 65,114

Step by Step Solution

1. Step 1: Write the proportion equation
   30,012 : 65,114 = 65,114 : x
2. Step 2: Convert to fraction form
   30,012/65,114 = 65,114/x
3. Step 3: Cross multiply
   30,012x = 65,114 × 65,114
4. Step 4: Simplify right side
   30,012x = 4,239,832,996
5. Step 5: Solve for x
   x = 4,239,832,996/30,012
6. Step 6: Final answer
   x = 141,271.26