Finding the Third Proportional to 16,106 and 34,970

Step by Step Solution

1. Step 1: Write the proportion equation
   16,106 : 34,970 = 34,970 : x
2. Step 2: Convert to fraction form
   16,106/34,970 = 34,970/x
3. Step 3: Cross multiply
   16,106x = 34,970 × 34,970
4. Step 4: Simplify right side
   16,106x = 1,222,900,900
5. Step 5: Solve for x
   x = 1,222,900,900/16,106
6. Step 6: Final answer
   x = 75,928.28