Finding the Third Proportional to 47,414 and 69,171

Step by Step Solution

1. Step 1: Write the proportion equation
   47,414 : 69,171 = 69,171 : x
2. Step 2: Convert to fraction form
   47,414/69,171 = 69,171/x
3. Step 3: Cross multiply
   47,414x = 69,171 × 69,171
4. Step 4: Simplify right side
   47,414x = 4,784,627,241
5. Step 5: Solve for x
   x = 4,784,627,241/47,414
6. Step 6: Final answer
   x = 100,911.70