Finding the Third Proportional to 52,884 and 72,518

Step by Step Solution

1. Step 1: Write the proportion equation
   52,884 : 72,518 = 72,518 : x
2. Step 2: Convert to fraction form
   52,884/72,518 = 72,518/x
3. Step 3: Cross multiply
   52,884x = 72,518 × 72,518
4. Step 4: Simplify right side
   52,884x = 5,258,860,324
5. Step 5: Solve for x
   x = 5,258,860,324/52,884
6. Step 6: Final answer
   x = 99,441.43