Finding the Third Proportional to 49,005 and 71,616

Step by Step Solution

1. Step 1: Write the proportion equation
   49,005 : 71,616 = 71,616 : x
2. Step 2: Convert to fraction form
   49,005/71,616 = 71,616/x
3. Step 3: Cross multiply
   49,005x = 71,616 × 71,616
4. Step 4: Simplify right side
   49,005x = 5,128,851,456
5. Step 5: Solve for x
   x = 5,128,851,456/49,005
6. Step 6: Final answer
   x = 104,659.76