Finding the Third Proportional to 69,682 and 105,171

Step by Step Solution

1. Step 1: Write the proportion equation
   69,682 : 105,171 = 105,171 : x
2. Step 2: Convert to fraction form
   69,682/105,171 = 105,171/x
3. Step 3: Cross multiply
   69,682x = 105,171 × 105,171
4. Step 4: Simplify right side
   69,682x = 11,060,939,241
5. Step 5: Solve for x
   x = 11,060,939,241/69,682
6. Step 6: Final answer
   x = 158,734.53