Finding the Third Proportional to 42,882 and 65,778

Step by Step Solution

1. Step 1: Write the proportion equation
   42,882 : 65,778 = 65,778 : x
2. Step 2: Convert to fraction form
   42,882/65,778 = 65,778/x
3. Step 3: Cross multiply
   42,882x = 65,778 × 65,778
4. Step 4: Simplify right side
   42,882x = 4,326,745,284
5. Step 5: Solve for x
   x = 4,326,745,284/42,882
6. Step 6: Final answer
   x = 100,898.87