Finding the Third Proportional to 1,233.56 and 2,669.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.56 : 2,669.63 = 2,669.63 : x
2. Step 2: Convert to fraction form
   1,233.56/2,669.63 = 2,669.63/x
3. Step 3: Cross multiply
   1,233.56x = 2,669.63 × 2,669.63
4. Step 4: Simplify right side
   1,233.56x = 7,126,897.64
5. Step 5: Solve for x
   x = 7,126,897.64/1,233.56
6. Step 6: Final answer
   x = 5,777.49