Finding the Third Proportional to 36,120 and 55,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,120 : 55,597.50 = 55,597.50 : x
2. Step 2: Convert to fraction form
   36,120/55,597.50 = 55,597.50/x
3. Step 3: Cross multiply
   36,120x = 55,597.50 × 55,597.50
4. Step 4: Simplify right side
   36,120x = 3,091,082,006.25
5. Step 5: Solve for x
   x = 3,091,082,006.25/36,120
6. Step 6: Final answer
   x = 85,578.13