Finding the Third Proportional to 2,229 and 4,766.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,229 : 4,766.63 = 4,766.63 : x
2. Step 2: Convert to fraction form
   2,229/4,766.63 = 4,766.63/x
3. Step 3: Cross multiply
   2,229x = 4,766.63 × 4,766.63
4. Step 4: Simplify right side
   2,229x = 22,720,713.89
5. Step 5: Solve for x
   x = 22,720,713.89/2,229
6. Step 6: Final answer
   x = 10,193.23