Finding the Third Proportional to 47,184 and 72,415

Step by Step Solution

1. Step 1: Write the proportion equation
   47,184 : 72,415 = 72,415 : x
2. Step 2: Convert to fraction form
   47,184/72,415 = 72,415/x
3. Step 3: Cross multiply
   47,184x = 72,415 × 72,415
4. Step 4: Simplify right side
   47,184x = 5,243,932,225
5. Step 5: Solve for x
   x = 5,243,932,225/47,184
6. Step 6: Final answer
   x = 111,137.93