Finding the Third Proportional to 42,906 and 65,635

Step by Step Solution

1. Step 1: Write the proportion equation
   42,906 : 65,635 = 65,635 : x
2. Step 2: Convert to fraction form
   42,906/65,635 = 65,635/x
3. Step 3: Cross multiply
   42,906x = 65,635 × 65,635
4. Step 4: Simplify right side
   42,906x = 4,307,953,225
5. Step 5: Solve for x
   x = 4,307,953,225/42,906
6. Step 6: Final answer
   x = 100,404.45