Finding the Third Proportional to 2,229 and 4,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,229 : 4,852.50 = 4,852.50 : x
2. Step 2: Convert to fraction form
   2,229/4,852.50 = 4,852.50/x
3. Step 3: Cross multiply
   2,229x = 4,852.50 × 4,852.50
4. Step 4: Simplify right side
   2,229x = 23,546,756.25
5. Step 5: Solve for x
   x = 23,546,756.25/2,229
6. Step 6: Final answer
   x = 10,563.82