Finding the Third Proportional to 40,216 and 52,884

Step by Step Solution

1. Step 1: Write the proportion equation
   40,216 : 52,884 = 52,884 : x
2. Step 2: Convert to fraction form
   40,216/52,884 = 52,884/x
3. Step 3: Cross multiply
   40,216x = 52,884 × 52,884
4. Step 4: Simplify right side
   40,216x = 2,796,717,456
5. Step 5: Solve for x
   x = 2,796,717,456/40,216
6. Step 6: Final answer
   x = 69,542.41