Finding the Third Proportional to 45,664 and 72,456

Step by Step Solution

1. Step 1: Write the proportion equation
   45,664 : 72,456 = 72,456 : x
2. Step 2: Convert to fraction form
   45,664/72,456 = 72,456/x
3. Step 3: Cross multiply
   45,664x = 72,456 × 72,456
4. Step 4: Simplify right side
   45,664x = 5,249,871,936
5. Step 5: Solve for x
   x = 5,249,871,936/45,664
6. Step 6: Final answer
   x = 114,967.41