Finding the Third Proportional to 16,602 and 34,742

Step by Step Solution

1. Step 1: Write the proportion equation
   16,602 : 34,742 = 34,742 : x
2. Step 2: Convert to fraction form
   16,602/34,742 = 34,742/x
3. Step 3: Cross multiply
   16,602x = 34,742 × 34,742
4. Step 4: Simplify right side
   16,602x = 1,207,006,564
5. Step 5: Solve for x
   x = 1,207,006,564/16,602
6. Step 6: Final answer
   x = 72,702.48