Finding the Third Proportional to 16,823.25 and 35,696.25

Step by Step Solution

1. Step 1: Write the proportion equation
   16,823.25 : 35,696.25 = 35,696.25 : x
2. Step 2: Convert to fraction form
   16,823.25/35,696.25 = 35,696.25/x
3. Step 3: Cross multiply
   16,823.25x = 35,696.25 × 35,696.25
4. Step 4: Simplify right side
   16,823.25x = 1,274,222,264.06
5. Step 5: Solve for x
   x = 1,274,222,264.06/16,823.25
6. Step 6: Final answer
   x = 75,741.74