Finding the Third Proportional to 16,014 and 34,798

Step by Step Solution

1. Step 1: Write the proportion equation
   16,014 : 34,798 = 34,798 : x
2. Step 2: Convert to fraction form
   16,014/34,798 = 34,798/x
3. Step 3: Cross multiply
   16,014x = 34,798 × 34,798
4. Step 4: Simplify right side
   16,014x = 1,210,900,804
5. Step 5: Solve for x
   x = 1,210,900,804/16,014
6. Step 6: Final answer
   x = 75,615.14