Finding the Third Proportional to 2,245 and 4,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,245 : 4,665.50 = 4,665.50 : x
2. Step 2: Convert to fraction form
   2,245/4,665.50 = 4,665.50/x
3. Step 3: Cross multiply
   2,245x = 4,665.50 × 4,665.50
4. Step 4: Simplify right side
   2,245x = 21,766,890.25
5. Step 5: Solve for x
   x = 21,766,890.25/2,245
6. Step 6: Final answer
   x = 9,695.72