Finding the Third Proportional to 34,824 and 53,050

Step by Step Solution

1. Step 1: Write the proportion equation
   34,824 : 53,050 = 53,050 : x
2. Step 2: Convert to fraction form
   34,824/53,050 = 53,050/x
3. Step 3: Cross multiply
   34,824x = 53,050 × 53,050
4. Step 4: Simplify right side
   34,824x = 2,814,302,500
5. Step 5: Solve for x
   x = 2,814,302,500/34,824
6. Step 6: Final answer
   x = 80,815.03