Finding the Third Proportional to 16,200 and 23,412

Step by Step Solution

1. Step 1: Write the proportion equation
   16,200 : 23,412 = 23,412 : x
2. Step 2: Convert to fraction form
   16,200/23,412 = 23,412/x
3. Step 3: Cross multiply
   16,200x = 23,412 × 23,412
4. Step 4: Simplify right side
   16,200x = 548,121,744
5. Step 5: Solve for x
   x = 548,121,744/16,200
6. Step 6: Final answer
   x = 33,834.68