Finding the Third Proportional to 16,116 and 34,188

Step by Step Solution

1. Step 1: Write the proportion equation
   16,116 : 34,188 = 34,188 : x
2. Step 2: Convert to fraction form
   16,116/34,188 = 34,188/x
3. Step 3: Cross multiply
   16,116x = 34,188 × 34,188
4. Step 4: Simplify right side
   16,116x = 1,168,819,344
5. Step 5: Solve for x
   x = 1,168,819,344/16,116
6. Step 6: Final answer
   x = 72,525.40