Finding the Third Proportional to 16,142 and 34,832

Step by Step Solution

1. Step 1: Write the proportion equation
   16,142 : 34,832 = 34,832 : x
2. Step 2: Convert to fraction form
   16,142/34,832 = 34,832/x
3. Step 3: Cross multiply
   16,142x = 34,832 × 34,832
4. Step 4: Simplify right side
   16,142x = 1,213,268,224
5. Step 5: Solve for x
   x = 1,213,268,224/16,142
6. Step 6: Final answer
   x = 75,162.20