Finding the Third Proportional to 38,826 and 82,740

Step by Step Solution

1. Step 1: Write the proportion equation
   38,826 : 82,740 = 82,740 : x
2. Step 2: Convert to fraction form
   38,826/82,740 = 82,740/x
3. Step 3: Cross multiply
   38,826x = 82,740 × 82,740
4. Step 4: Simplify right side
   38,826x = 6,845,907,600
5. Step 5: Solve for x
   x = 6,845,907,600/38,826
6. Step 6: Final answer
   x = 176,322.76