Finding the Third Proportional to 16,102 and 34,328

Step by Step Solution

1. Step 1: Write the proportion equation
   16,102 : 34,328 = 34,328 : x
2. Step 2: Convert to fraction form
   16,102/34,328 = 34,328/x
3. Step 3: Cross multiply
   16,102x = 34,328 × 34,328
4. Step 4: Simplify right side
   16,102x = 1,178,411,584
5. Step 5: Solve for x
   x = 1,178,411,584/16,102
6. Step 6: Final answer
   x = 73,184.17