Finding the Third Proportional to 16,278 and 34,662

Step by Step Solution

1. Step 1: Write the proportion equation
   16,278 : 34,662 = 34,662 : x
2. Step 2: Convert to fraction form
   16,278/34,662 = 34,662/x
3. Step 3: Cross multiply
   16,278x = 34,662 × 34,662
4. Step 4: Simplify right side
   16,278x = 1,201,454,244
5. Step 5: Solve for x
   x = 1,201,454,244/16,278
6. Step 6: Final answer
   x = 73,808.47