Finding the Third Proportional to 7,407 and 16,191

Step by Step Solution

1. Step 1: Write the proportion equation
   7,407 : 16,191 = 16,191 : x
2. Step 2: Convert to fraction form
   7,407/16,191 = 16,191/x
3. Step 3: Cross multiply
   7,407x = 16,191 × 16,191
4. Step 4: Simplify right side
   7,407x = 262,148,481
5. Step 5: Solve for x
   x = 262,148,481/7,407
6. Step 6: Final answer
   x = 35,391.99