Finding the Third Proportional to 16,138 and 34,611

Step by Step Solution

1. Step 1: Write the proportion equation
   16,138 : 34,611 = 34,611 : x
2. Step 2: Convert to fraction form
   16,138/34,611 = 34,611/x
3. Step 3: Cross multiply
   16,138x = 34,611 × 34,611
4. Step 4: Simplify right side
   16,138x = 1,197,921,321
5. Step 5: Solve for x
   x = 1,197,921,321/16,138
6. Step 6: Final answer
   x = 74,229.85