Finding the Third Proportional to 39,650 and 53,824

Step by Step Solution

1. Step 1: Write the proportion equation
   39,650 : 53,824 = 53,824 : x
2. Step 2: Convert to fraction form
   39,650/53,824 = 53,824/x
3. Step 3: Cross multiply
   39,650x = 53,824 × 53,824
4. Step 4: Simplify right side
   39,650x = 2,897,022,976
5. Step 5: Solve for x
   x = 2,897,022,976/39,650
6. Step 6: Final answer
   x = 73,064.89