Finding the Third Proportional to 36,757.50 and 55,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,757.50 : 55,186.50 = 55,186.50 : x
2. Step 2: Convert to fraction form
   36,757.50/55,186.50 = 55,186.50/x
3. Step 3: Cross multiply
   36,757.50x = 55,186.50 × 55,186.50
4. Step 4: Simplify right side
   36,757.50x = 3,045,549,782.25
5. Step 5: Solve for x
   x = 3,045,549,782.25/36,757.50
6. Step 6: Final answer
   x = 82,855.19