Finding the Third Proportional to 51,962 and 83,686

Step by Step Solution

1. Step 1: Write the proportion equation
   51,962 : 83,686 = 83,686 : x
2. Step 2: Convert to fraction form
   51,962/83,686 = 83,686/x
3. Step 3: Cross multiply
   51,962x = 83,686 × 83,686
4. Step 4: Simplify right side
   51,962x = 7,003,346,596
5. Step 5: Solve for x
   x = 7,003,346,596/51,962
6. Step 6: Final answer
   x = 134,778.23