Finding the Third Proportional to 47,686 and 56,470

Step by Step Solution

1. Step 1: Write the proportion equation
   47,686 : 56,470 = 56,470 : x
2. Step 2: Convert to fraction form
   47,686/56,470 = 56,470/x
3. Step 3: Cross multiply
   47,686x = 56,470 × 56,470
4. Step 4: Simplify right side
   47,686x = 3,188,860,900
5. Step 5: Solve for x
   x = 3,188,860,900/47,686
6. Step 6: Final answer
   x = 66,872.06