Finding the Third Proportional to 36,496.50 and 54,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,496.50 : 54,907.50 = 54,907.50 : x
2. Step 2: Convert to fraction form
   36,496.50/54,907.50 = 54,907.50/x
3. Step 3: Cross multiply
   36,496.50x = 54,907.50 × 54,907.50
4. Step 4: Simplify right side
   36,496.50x = 3,014,833,556.25
5. Step 5: Solve for x
   x = 3,014,833,556.25/36,496.50
6. Step 6: Final answer
   x = 82,606.10