Finding the Third Proportional to 16,376 and 34,702

Step by Step Solution

1. Step 1: Write the proportion equation
   16,376 : 34,702 = 34,702 : x
2. Step 2: Convert to fraction form
   16,376/34,702 = 34,702/x
3. Step 3: Cross multiply
   16,376x = 34,702 × 34,702
4. Step 4: Simplify right side
   16,376x = 1,204,228,804
5. Step 5: Solve for x
   x = 1,204,228,804/16,376
6. Step 6: Final answer
   x = 73,536.20