Finding the Third Proportional to 24,495 and 36,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,495 : 36,775.50 = 36,775.50 : x
2. Step 2: Convert to fraction form
   24,495/36,775.50 = 36,775.50/x
3. Step 3: Cross multiply
   24,495x = 36,775.50 × 36,775.50
4. Step 4: Simplify right side
   24,495x = 1,352,437,400.25
5. Step 5: Solve for x
   x = 1,352,437,400.25/24,495
6. Step 6: Final answer
   x = 55,212.79