Finding the Third Proportional to 47,488 and 101,564

Step by Step Solution

1. Step 1: Write the proportion equation
   47,488 : 101,564 = 101,564 : x
2. Step 2: Convert to fraction form
   47,488/101,564 = 101,564/x
3. Step 3: Cross multiply
   47,488x = 101,564 × 101,564
4. Step 4: Simplify right side
   47,488x = 10,315,246,096
5. Step 5: Solve for x
   x = 10,315,246,096/47,488
6. Step 6: Final answer
   x = 217,217.95