Finding the Third Proportional to 7,499.50 and 16,411

Step by Step Solution

1. Step 1: Write the proportion equation
   7,499.50 : 16,411 = 16,411 : x
2. Step 2: Convert to fraction form
   7,499.50/16,411 = 16,411/x
3. Step 3: Cross multiply
   7,499.50x = 16,411 × 16,411
4. Step 4: Simplify right side
   7,499.50x = 269,320,921
5. Step 5: Solve for x
   x = 269,320,921/7,499.50
6. Step 6: Final answer
   x = 35,911.85