Finding the Third Proportional to 16,181 and 34,724

Step by Step Solution

1. Step 1: Write the proportion equation
   16,181 : 34,724 = 34,724 : x
2. Step 2: Convert to fraction form
   16,181/34,724 = 34,724/x
3. Step 3: Cross multiply
   16,181x = 34,724 × 34,724
4. Step 4: Simplify right side
   16,181x = 1,205,756,176
5. Step 5: Solve for x
   x = 1,205,756,176/16,181
6. Step 6: Final answer
   x = 74,516.79