Finding the Third Proportional to 47,728 and 72,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,728 : 72,847.50 = 72,847.50 : x
2. Step 2: Convert to fraction form
   47,728/72,847.50 = 72,847.50/x
3. Step 3: Cross multiply
   47,728x = 72,847.50 × 72,847.50
4. Step 4: Simplify right side
   47,728x = 5,306,758,256.25
5. Step 5: Solve for x
   x = 5,306,758,256.25/47,728
6. Step 6: Final answer
   x = 111,187.53