Finding the Third Proportional to 23,685.75 and 36,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,685.75 : 36,949.50 = 36,949.50 : x
2. Step 2: Convert to fraction form
   23,685.75/36,949.50 = 36,949.50/x
3. Step 3: Cross multiply
   23,685.75x = 36,949.50 × 36,949.50
4. Step 4: Simplify right side
   23,685.75x = 1,365,265,550.25
5. Step 5: Solve for x
   x = 1,365,265,550.25/23,685.75
6. Step 6: Final answer
   x = 57,640.80