Finding the Third Proportional to 36,855 and 56,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,855 : 56,653.50 = 56,653.50 : x
2. Step 2: Convert to fraction form
   36,855/56,653.50 = 56,653.50/x
3. Step 3: Cross multiply
   36,855x = 56,653.50 × 56,653.50
4. Step 4: Simplify right side
   36,855x = 3,209,619,062.25
5. Step 5: Solve for x
   x = 3,209,619,062.25/36,855
6. Step 6: Final answer
   x = 87,087.75