Finding the Third Proportional to 16,024 and 34,417

Step by Step Solution

1. Step 1: Write the proportion equation
   16,024 : 34,417 = 34,417 : x
2. Step 2: Convert to fraction form
   16,024/34,417 = 34,417/x
3. Step 3: Cross multiply
   16,024x = 34,417 × 34,417
4. Step 4: Simplify right side
   16,024x = 1,184,529,889
5. Step 5: Solve for x
   x = 1,184,529,889/16,024
6. Step 6: Final answer
   x = 73,922.23