Finding the Third Proportional to 2,267.75 and 4,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,267.75 : 4,807.50 = 4,807.50 : x
2. Step 2: Convert to fraction form
   2,267.75/4,807.50 = 4,807.50/x
3. Step 3: Cross multiply
   2,267.75x = 4,807.50 × 4,807.50
4. Step 4: Simplify right side
   2,267.75x = 23,112,056.25
5. Step 5: Solve for x
   x = 23,112,056.25/2,267.75
6. Step 6: Final answer
   x = 10,191.62