Finding the Third Proportional to 20,175 and 42,777

Step by Step Solution

1. Step 1: Write the proportion equation
   20,175 : 42,777 = 42,777 : x
2. Step 2: Convert to fraction form
   20,175/42,777 = 42,777/x
3. Step 3: Cross multiply
   20,175x = 42,777 × 42,777
4. Step 4: Simplify right side
   20,175x = 1,829,871,729
5. Step 5: Solve for x
   x = 1,829,871,729/20,175
6. Step 6: Final answer
   x = 90,699.96