Finding the Third Proportional to 19,520 and 45,824

Step by Step Solution

1. Step 1: Write the proportion equation
   19,520 : 45,824 = 45,824 : x
2. Step 2: Convert to fraction form
   19,520/45,824 = 45,824/x
3. Step 3: Cross multiply
   19,520x = 45,824 × 45,824
4. Step 4: Simplify right side
   19,520x = 2,099,838,976
5. Step 5: Solve for x
   x = 2,099,838,976/19,520
6. Step 6: Final answer
   x = 107,573.72