Finding the Third Proportional to 16,080 and 38,733

Step by Step Solution

1. Step 1: Write the proportion equation
   16,080 : 38,733 = 38,733 : x
2. Step 2: Convert to fraction form
   16,080/38,733 = 38,733/x
3. Step 3: Cross multiply
   16,080x = 38,733 × 38,733
4. Step 4: Simplify right side
   16,080x = 1,500,245,289
5. Step 5: Solve for x
   x = 1,500,245,289/16,080
6. Step 6: Final answer
   x = 93,298.84