Finding the Third Proportional to 16,623 and 35,297

Step by Step Solution

1. Step 1: Write the proportion equation
   16,623 : 35,297 = 35,297 : x
2. Step 2: Convert to fraction form
   16,623/35,297 = 35,297/x
3. Step 3: Cross multiply
   16,623x = 35,297 × 35,297
4. Step 4: Simplify right side
   16,623x = 1,245,878,209
5. Step 5: Solve for x
   x = 1,245,878,209/16,623
6. Step 6: Final answer
   x = 74,949.06