Finding the Third Proportional to 16,188 and 34,701

Step by Step Solution

1. Step 1: Write the proportion equation
   16,188 : 34,701 = 34,701 : x
2. Step 2: Convert to fraction form
   16,188/34,701 = 34,701/x
3. Step 3: Cross multiply
   16,188x = 34,701 × 34,701
4. Step 4: Simplify right side
   16,188x = 1,204,159,401
5. Step 5: Solve for x
   x = 1,204,159,401/16,188
6. Step 6: Final answer
   x = 74,385.93