Finding the Third Proportional to 35,194.50 and 52,616.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,194.50 : 52,616.25 = 52,616.25 : x
2. Step 2: Convert to fraction form
   35,194.50/52,616.25 = 52,616.25/x
3. Step 3: Cross multiply
   35,194.50x = 52,616.25 × 52,616.25
4. Step 4: Simplify right side
   35,194.50x = 2,768,469,764.06
5. Step 5: Solve for x
   x = 2,768,469,764.06/35,194.50
6. Step 6: Final answer
   x = 78,662.00