Finding the Third Proportional to 16,178 and 35,284

Step by Step Solution

1. Step 1: Write the proportion equation
   16,178 : 35,284 = 35,284 : x
2. Step 2: Convert to fraction form
   16,178/35,284 = 35,284/x
3. Step 3: Cross multiply
   16,178x = 35,284 × 35,284
4. Step 4: Simplify right side
   16,178x = 1,244,960,656
5. Step 5: Solve for x
   x = 1,244,960,656/16,178
6. Step 6: Final answer
   x = 76,953.93