Finding the Third Proportional to 36,965.25 and 81,310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,965.25 : 81,310.50 = 81,310.50 : x
2. Step 2: Convert to fraction form
   36,965.25/81,310.50 = 81,310.50/x
3. Step 3: Cross multiply
   36,965.25x = 81,310.50 × 81,310.50
4. Step 4: Simplify right side
   36,965.25x = 6,611,397,410.25
5. Step 5: Solve for x
   x = 6,611,397,410.25/36,965.25
6. Step 6: Final answer
   x = 178,854.39