Finding the Third Proportional to 35,894.25 and 52,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,894.25 : 52,778.25 = 52,778.25 : x
2. Step 2: Convert to fraction form
   35,894.25/52,778.25 = 52,778.25/x
3. Step 3: Cross multiply
   35,894.25x = 52,778.25 × 52,778.25
4. Step 4: Simplify right side
   35,894.25x = 2,785,543,673.06
5. Step 5: Solve for x
   x = 2,785,543,673.06/35,894.25
6. Step 6: Final answer
   x = 77,604.18