Finding the Third Proportional to 1,206 and 2,498.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206 : 2,498.63 = 2,498.63 : x
2. Step 2: Convert to fraction form
   1,206/2,498.63 = 2,498.63/x
3. Step 3: Cross multiply
   1,206x = 2,498.63 × 2,498.63
4. Step 4: Simplify right side
   1,206x = 6,243,126.89
5. Step 5: Solve for x
   x = 6,243,126.89/1,206
6. Step 6: Final answer
   x = 5,176.72