Finding the Third Proportional to 35,766 and 56,621.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,766 : 56,621.25 = 56,621.25 : x
2. Step 2: Convert to fraction form
   35,766/56,621.25 = 56,621.25/x
3. Step 3: Cross multiply
   35,766x = 56,621.25 × 56,621.25
4. Step 4: Simplify right side
   35,766x = 3,205,965,951.56
5. Step 5: Solve for x
   x = 3,205,965,951.56/35,766
6. Step 6: Final answer
   x = 89,637.25