Finding the Third Proportional to 36,782 and 56,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,782 : 56,357.50 = 56,357.50 : x
2. Step 2: Convert to fraction form
   36,782/56,357.50 = 56,357.50/x
3. Step 3: Cross multiply
   36,782x = 56,357.50 × 56,357.50
4. Step 4: Simplify right side
   36,782x = 3,176,167,806.25
5. Step 5: Solve for x
   x = 3,176,167,806.25/36,782
6. Step 6: Final answer
   x = 86,351.14