Finding the Third Proportional to 47,408 and 69,162

Step by Step Solution

1. Step 1: Write the proportion equation
   47,408 : 69,162 = 69,162 : x
2. Step 2: Convert to fraction form
   47,408/69,162 = 69,162/x
3. Step 3: Cross multiply
   47,408x = 69,162 × 69,162
4. Step 4: Simplify right side
   47,408x = 4,783,382,244
5. Step 5: Solve for x
   x = 4,783,382,244/47,408
6. Step 6: Final answer
   x = 100,898.21