Finding the Third Proportional to 36,384 and 53,552

Step by Step Solution

1. Step 1: Write the proportion equation
   36,384 : 53,552 = 53,552 : x
2. Step 2: Convert to fraction form
   36,384/53,552 = 53,552/x
3. Step 3: Cross multiply
   36,384x = 53,552 × 53,552
4. Step 4: Simplify right side
   36,384x = 2,867,816,704
5. Step 5: Solve for x
   x = 2,867,816,704/36,384
6. Step 6: Final answer
   x = 78,820.82