Finding the Third Proportional to 30,513 and 65,708

Step by Step Solution

1. Step 1: Write the proportion equation
   30,513 : 65,708 = 65,708 : x
2. Step 2: Convert to fraction form
   30,513/65,708 = 65,708/x
3. Step 3: Cross multiply
   30,513x = 65,708 × 65,708
4. Step 4: Simplify right side
   30,513x = 4,317,541,264
5. Step 5: Solve for x
   x = 4,317,541,264/30,513
6. Step 6: Final answer
   x = 141,498.42