Finding the Third Proportional to 31,275 and 65,130

Step by Step Solution

1. Step 1: Write the proportion equation
   31,275 : 65,130 = 65,130 : x
2. Step 2: Convert to fraction form
   31,275/65,130 = 65,130/x
3. Step 3: Cross multiply
   31,275x = 65,130 × 65,130
4. Step 4: Simplify right side
   31,275x = 4,241,916,900
5. Step 5: Solve for x
   x = 4,241,916,900/31,275
6. Step 6: Final answer
   x = 135,632.83