Finding the Third Proportional to 16,188 and 34,680

Step by Step Solution

1. Step 1: Write the proportion equation
   16,188 : 34,680 = 34,680 : x
2. Step 2: Convert to fraction form
   16,188/34,680 = 34,680/x
3. Step 3: Cross multiply
   16,188x = 34,680 × 34,680
4. Step 4: Simplify right side
   16,188x = 1,202,702,400
5. Step 5: Solve for x
   x = 1,202,702,400/16,188
6. Step 6: Final answer
   x = 74,295.92