Finding the Third Proportional to 51,993 and 83,708

Step by Step Solution

1. Step 1: Write the proportion equation
   51,993 : 83,708 = 83,708 : x
2. Step 2: Convert to fraction form
   51,993/83,708 = 83,708/x
3. Step 3: Cross multiply
   51,993x = 83,708 × 83,708
4. Step 4: Simplify right side
   51,993x = 7,007,029,264
5. Step 5: Solve for x
   x = 7,007,029,264/51,993
6. Step 6: Final answer
   x = 134,768.70