Finding the Third Proportional to 49,032 and 71,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,032 : 71,968.50 = 71,968.50 : x
2. Step 2: Convert to fraction form
   49,032/71,968.50 = 71,968.50/x
3. Step 3: Cross multiply
   49,032x = 71,968.50 × 71,968.50
4. Step 4: Simplify right side
   49,032x = 5,179,464,992.25
5. Step 5: Solve for x
   x = 5,179,464,992.25/49,032
6. Step 6: Final answer
   x = 105,634.38