Finding the Third Proportional to 16,538 and 35,572

Step by Step Solution

1. Step 1: Write the proportion equation
   16,538 : 35,572 = 35,572 : x
2. Step 2: Convert to fraction form
   16,538/35,572 = 35,572/x
3. Step 3: Cross multiply
   16,538x = 35,572 × 35,572
4. Step 4: Simplify right side
   16,538x = 1,265,367,184
5. Step 5: Solve for x
   x = 1,265,367,184/16,538
6. Step 6: Final answer
   x = 76,512.71