Finding the Third Proportional to 1,229.34 and 2,663.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.34 : 2,663.72 = 2,663.72 : x
2. Step 2: Convert to fraction form
   1,229.34/2,663.72 = 2,663.72/x
3. Step 3: Cross multiply
   1,229.34x = 2,663.72 × 2,663.72
4. Step 4: Simplify right side
   1,229.34x = 7,095,397.58
5. Step 5: Solve for x
   x = 7,095,397.58/1,229.34
6. Step 6: Final answer
   x = 5,771.70