Finding the Third Proportional to 47,424 and 71,012.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,424 : 71,012.25 = 71,012.25 : x
2. Step 2: Convert to fraction form
   47,424/71,012.25 = 71,012.25/x
3. Step 3: Cross multiply
   47,424x = 71,012.25 × 71,012.25
4. Step 4: Simplify right side
   47,424x = 5,042,739,650.06
5. Step 5: Solve for x
   x = 5,042,739,650.06/47,424
6. Step 6: Final answer
   x = 106,333.07