Finding the Third Proportional to 47,624 and 71,868

Step by Step Solution

1. Step 1: Write the proportion equation
   47,624 : 71,868 = 71,868 : x
2. Step 2: Convert to fraction form
   47,624/71,868 = 71,868/x
3. Step 3: Cross multiply
   47,624x = 71,868 × 71,868
4. Step 4: Simplify right side
   47,624x = 5,165,009,424
5. Step 5: Solve for x
   x = 5,165,009,424/47,624
6. Step 6: Final answer
   x = 108,453.92