Finding the Third Proportional to 42,618 and 65,225

Step by Step Solution

1. Step 1: Write the proportion equation
   42,618 : 65,225 = 65,225 : x
2. Step 2: Convert to fraction form
   42,618/65,225 = 65,225/x
3. Step 3: Cross multiply
   42,618x = 65,225 × 65,225
4. Step 4: Simplify right side
   42,618x = 4,254,300,625
5. Step 5: Solve for x
   x = 4,254,300,625/42,618
6. Step 6: Final answer
   x = 99,824.03