Finding the Third Proportional to 16,146 and 34,840

Step by Step Solution

1. Step 1: Write the proportion equation
   16,146 : 34,840 = 34,840 : x
2. Step 2: Convert to fraction form
   16,146/34,840 = 34,840/x
3. Step 3: Cross multiply
   16,146x = 34,840 × 34,840
4. Step 4: Simplify right side
   16,146x = 1,213,825,600
5. Step 5: Solve for x
   x = 1,213,825,600/16,146
6. Step 6: Final answer
   x = 75,178.10