Finding the Third Proportional to 23,785.50 and 36,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,785.50 : 36,880.50 = 36,880.50 : x
2. Step 2: Convert to fraction form
   23,785.50/36,880.50 = 36,880.50/x
3. Step 3: Cross multiply
   23,785.50x = 36,880.50 × 36,880.50
4. Step 4: Simplify right side
   23,785.50x = 1,360,171,280.25
5. Step 5: Solve for x
   x = 1,360,171,280.25/23,785.50
6. Step 6: Final answer
   x = 57,184.89