Finding the Third Proportional to 51,991 and 83,729

Step by Step Solution

1. Step 1: Write the proportion equation
   51,991 : 83,729 = 83,729 : x
2. Step 2: Convert to fraction form
   51,991/83,729 = 83,729/x
3. Step 3: Cross multiply
   51,991x = 83,729 × 83,729
4. Step 4: Simplify right side
   51,991x = 7,010,545,441
5. Step 5: Solve for x
   x = 7,010,545,441/51,991
6. Step 6: Final answer
   x = 134,841.52