Finding the Third Proportional to 24,807 and 35,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,807 : 35,365.50 = 35,365.50 : x
2. Step 2: Convert to fraction form
   24,807/35,365.50 = 35,365.50/x
3. Step 3: Cross multiply
   24,807x = 35,365.50 × 35,365.50
4. Step 4: Simplify right side
   24,807x = 1,250,718,590.25
5. Step 5: Solve for x
   x = 1,250,718,590.25/24,807
6. Step 6: Final answer
   x = 50,417.97