Finding the Third Proportional to 25,116 and 42,777

Step by Step Solution

1. Step 1: Write the proportion equation
   25,116 : 42,777 = 42,777 : x
2. Step 2: Convert to fraction form
   25,116/42,777 = 42,777/x
3. Step 3: Cross multiply
   25,116x = 42,777 × 42,777
4. Step 4: Simplify right side
   25,116x = 1,829,871,729
5. Step 5: Solve for x
   x = 1,829,871,729/25,116
6. Step 6: Final answer
   x = 72,856.81