Finding the Third Proportional to 42,182 and 65,829

Step by Step Solution

1. Step 1: Write the proportion equation
   42,182 : 65,829 = 65,829 : x
2. Step 2: Convert to fraction form
   42,182/65,829 = 65,829/x
3. Step 3: Cross multiply
   42,182x = 65,829 × 65,829
4. Step 4: Simplify right side
   42,182x = 4,333,457,241
5. Step 5: Solve for x
   x = 4,333,457,241/42,182
6. Step 6: Final answer
   x = 102,732.38