Finding the Third Proportional to 16,400 and 23,013

Step by Step Solution

1. Step 1: Write the proportion equation
   16,400 : 23,013 = 23,013 : x
2. Step 2: Convert to fraction form
   16,400/23,013 = 23,013/x
3. Step 3: Cross multiply
   16,400x = 23,013 × 23,013
4. Step 4: Simplify right side
   16,400x = 529,598,169
5. Step 5: Solve for x
   x = 529,598,169/16,400
6. Step 6: Final answer
   x = 32,292.57