Finding the Third Proportional to 16,178 and 34,606

Step by Step Solution

1. Step 1: Write the proportion equation
   16,178 : 34,606 = 34,606 : x
2. Step 2: Convert to fraction form
   16,178/34,606 = 34,606/x
3. Step 3: Cross multiply
   16,178x = 34,606 × 34,606
4. Step 4: Simplify right side
   16,178x = 1,197,575,236
5. Step 5: Solve for x
   x = 1,197,575,236/16,178
6. Step 6: Final answer
   x = 74,024.92