Finding the Third Proportional to 47,644 and 101,620

Step by Step Solution

1. Step 1: Write the proportion equation
   47,644 : 101,620 = 101,620 : x
2. Step 2: Convert to fraction form
   47,644/101,620 = 101,620/x
3. Step 3: Cross multiply
   47,644x = 101,620 × 101,620
4. Step 4: Simplify right side
   47,644x = 10,326,624,400
5. Step 5: Solve for x
   x = 10,326,624,400/47,644
6. Step 6: Final answer
   x = 216,745.54