Finding the Third Proportional to 47,760 and 72,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,760 : 72,733.50 = 72,733.50 : x
2. Step 2: Convert to fraction form
   47,760/72,733.50 = 72,733.50/x
3. Step 3: Cross multiply
   47,760x = 72,733.50 × 72,733.50
4. Step 4: Simplify right side
   47,760x = 5,290,162,022.25
5. Step 5: Solve for x
   x = 5,290,162,022.25/47,760
6. Step 6: Final answer
   x = 110,765.54